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Finding the Fourth Proportional to 2,451.31, 3,677.20 and 807.86

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Solution

The fourth proportional to 2,451.31, 3,677.20 and 807.86 is: 1,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.31 : 3,677.20 = 807.86 : x
  2. Step 2: Convert to fraction form
    2,451.31/3,677.20 = 807.86/x
  3. Step 3: Cross multiply
    2,451.31x = 3,677.20 × 807.86
  4. Step 4: Simplify right side
    2,451.31x = 2,970,662.79
  5. Step 5: Solve for x
    x = 2,970,662.79/2,451.31
  6. Step 6: Final answer
    x = 1,211.87

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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.