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Finding the Fourth Proportional to 2,463.14, 3,691.92 and 819.30

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Solution

The fourth proportional to 2,463.14, 3,691.92 and 819.30 is: 1,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.14 : 3,691.92 = 819.30 : x
  2. Step 2: Convert to fraction form
    2,463.14/3,691.92 = 819.30/x
  3. Step 3: Cross multiply
    2,463.14x = 3,691.92 × 819.30
  4. Step 4: Simplify right side
    2,463.14x = 3,024,790.06
  5. Step 5: Solve for x
    x = 3,024,790.06/2,463.14
  6. Step 6: Final answer
    x = 1,228.02

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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.