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Finding the Fourth Proportional to 2,451.10, 3,677.21 and 807.82

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Solution

The fourth proportional to 2,451.10, 3,677.21 and 807.82 is: 1,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.10 : 3,677.21 = 807.82 : x
  2. Step 2: Convert to fraction form
    2,451.10/3,677.21 = 807.82/x
  3. Step 3: Cross multiply
    2,451.10x = 3,677.21 × 807.82
  4. Step 4: Simplify right side
    2,451.10x = 2,970,523.78
  5. Step 5: Solve for x
    x = 2,970,523.78/2,451.10
  6. Step 6: Final answer
    x = 1,211.91

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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.