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Finding the Fourth Proportional to 2,002.52, 2,761.89 and 1,216.55

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Solution

The fourth proportional to 2,002.52, 2,761.89 and 1,216.55 is: 1,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.52 : 2,761.89 = 1,216.55 : x
  2. Step 2: Convert to fraction form
    2,002.52/2,761.89 = 1,216.55/x
  3. Step 3: Cross multiply
    2,002.52x = 2,761.89 × 1,216.55
  4. Step 4: Simplify right side
    2,002.52x = 3,359,977.28
  5. Step 5: Solve for x
    x = 3,359,977.28/2,002.52
  6. Step 6: Final answer
    x = 1,677.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.