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Finding the Fourth Proportional to 2,502.96, 3,754.64 and 724.04

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Solution

The fourth proportional to 2,502.96, 3,754.64 and 724.04 is: 1,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.96 : 3,754.64 = 724.04 : x
  2. Step 2: Convert to fraction form
    2,502.96/3,754.64 = 724.04/x
  3. Step 3: Cross multiply
    2,502.96x = 3,754.64 × 724.04
  4. Step 4: Simplify right side
    2,502.96x = 2,718,509.55
  5. Step 5: Solve for x
    x = 2,718,509.55/2,502.96
  6. Step 6: Final answer
    x = 1,086.12

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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.