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Finding the Fourth Proportional to 2,508.35, 3,761.16 and 863.55

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Solution

The fourth proportional to 2,508.35, 3,761.16 and 863.55 is: 1,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.35 : 3,761.16 = 863.55 : x
  2. Step 2: Convert to fraction form
    2,508.35/3,761.16 = 863.55/x
  3. Step 3: Cross multiply
    2,508.35x = 3,761.16 × 863.55
  4. Step 4: Simplify right side
    2,508.35x = 3,247,949.72
  5. Step 5: Solve for x
    x = 3,247,949.72/2,508.35
  6. Step 6: Final answer
    x = 1,294.86

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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.