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Finding the Fourth Proportional to 2,451.80, 3,676.52 and 807.71

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Solution

The fourth proportional to 2,451.80, 3,676.52 and 807.71 is: 1,211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.80 : 3,676.52 = 807.71 : x
  2. Step 2: Convert to fraction form
    2,451.80/3,676.52 = 807.71/x
  3. Step 3: Cross multiply
    2,451.80x = 3,676.52 × 807.71
  4. Step 4: Simplify right side
    2,451.80x = 2,969,545.61
  5. Step 5: Solve for x
    x = 2,969,545.61/2,451.80
  6. Step 6: Final answer
    x = 1,211.17

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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.