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Finding the Fourth Proportional to 1,824.25, 2,517.53 and 996.25

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Solution

The fourth proportional to 1,824.25, 2,517.53 and 996.25 is: 1,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.25 : 2,517.53 = 996.25 : x
  2. Step 2: Convert to fraction form
    1,824.25/2,517.53 = 996.25/x
  3. Step 3: Cross multiply
    1,824.25x = 2,517.53 × 996.25
  4. Step 4: Simplify right side
    1,824.25x = 2,508,089.26
  5. Step 5: Solve for x
    x = 2,508,089.26/1,824.25
  6. Step 6: Final answer
    x = 1,374.86

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.