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Can you get by with a cheap computer for awhile? You can find something functional for a few hundred bucks.
While getting by with the cheap computer. Set aside a savings for a new one. Put some extra money into it each paycheck. Then after a year or so, you will have the money to make the purchase on your chase card and pay it off within the month.
Plus, in a year the computers will be even better than they are now. Best thing to do with a computer purchase is wait