To convert the scale from 1 box = 4 inches to 1 box = 2 inches while keeping the same physical width in inches, you can first find out how many inches the current drawing's width of 3 boxes represents.
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Calculate the current width in inches: \[ 3 \text{ boxes} \times 4 \text{ inches/box} = 12 \text{ inches} \]
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Now, to find out how many boxes this width will represent in the new scale where 1 box = 2 inches: \[ 12 \text{ inches} \div 2 \text{ inches/box} = 6 \text{ boxes} \]
Thus, the width in boxes of the new drawing will be 6 boxes.