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Finding the Fourth Proportional to 2,502.70, 3,755.92 and 944.24

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Solution

The fourth proportional to 2,502.70, 3,755.92 and 944.24 is: 1,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.70 : 3,755.92 = 944.24 : x
  2. Step 2: Convert to fraction form
    2,502.70/3,755.92 = 944.24/x
  3. Step 3: Cross multiply
    2,502.70x = 3,755.92 × 944.24
  4. Step 4: Simplify right side
    2,502.70x = 3,546,489.90
  5. Step 5: Solve for x
    x = 3,546,489.90/2,502.70
  6. Step 6: Final answer
    x = 1,417.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.