Deeper spending cuts by state and local governments weighed down U.S. economic growth in the final three months of last year.

The government’s new estimate for the October-December quarter illustrates how growing state budget crises could hold back the economic recovery.

The Commerce Department reported Friday that economic growth increased at an annual rate of 2.8 percent in the final quarter of last year. That was down from the initial estimate of 3.2 percent.

The weaker figure was disappointing and prompted some economists to lower their forecasts for economic growth in the current January-March quarter.

State and local governments, wrestling with budget shortfalls, cut spending at a 2.4 percent pace. That was much deeper than the 0.9 percent annualized cut first estimated and was the most since the start of 2010.

Consumers spent a little less than first thought. Their spending rose at a rate of 4.1 percent, slightly smaller than the initial estimate of 4.4 percent. Still, it was the best showing since 2006. And it suggests Americans will play a larger role this year in helping the economy grow, especially with more money from a Social Security tax cut.

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