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Finding the Fourth Proportional to 2,545.98, 3,819.02 and 814.61

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Solution

The fourth proportional to 2,545.98, 3,819.02 and 814.61 is: 1,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.98 : 3,819.02 = 814.61 : x
  2. Step 2: Convert to fraction form
    2,545.98/3,819.02 = 814.61/x
  3. Step 3: Cross multiply
    2,545.98x = 3,819.02 × 814.61
  4. Step 4: Simplify right side
    2,545.98x = 3,110,988.71
  5. Step 5: Solve for x
    x = 3,110,988.71/2,545.98
  6. Step 6: Final answer
    x = 1,221.92

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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.