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Finding the Fourth Proportional to 2,494.92, 3,742.36 and 763.52

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Solution

The fourth proportional to 2,494.92, 3,742.36 and 763.52 is: 1,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.92 : 3,742.36 = 763.52 : x
  2. Step 2: Convert to fraction form
    2,494.92/3,742.36 = 763.52/x
  3. Step 3: Cross multiply
    2,494.92x = 3,742.36 × 763.52
  4. Step 4: Simplify right side
    2,494.92x = 2,857,366.71
  5. Step 5: Solve for x
    x = 2,857,366.71/2,494.92
  6. Step 6: Final answer
    x = 1,145.27

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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.