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Finding the Fourth Proportional to 2,462.92, 3,695.46 and 819.70

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Solution

The fourth proportional to 2,462.92, 3,695.46 and 819.70 is: 1,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.92 : 3,695.46 = 819.70 : x
  2. Step 2: Convert to fraction form
    2,462.92/3,695.46 = 819.70/x
  3. Step 3: Cross multiply
    2,462.92x = 3,695.46 × 819.70
  4. Step 4: Simplify right side
    2,462.92x = 3,029,168.56
  5. Step 5: Solve for x
    x = 3,029,168.56/2,462.92
  6. Step 6: Final answer
    x = 1,229.91

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