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Finding the Fourth Proportional to 2,877.27, 4,318.04 and 2,138.59

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Solution

The fourth proportional to 2,877.27, 4,318.04 and 2,138.59 is: 3,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.27 : 4,318.04 = 2,138.59 : x
  2. Step 2: Convert to fraction form
    2,877.27/4,318.04 = 2,138.59/x
  3. Step 3: Cross multiply
    2,877.27x = 4,318.04 × 2,138.59
  4. Step 4: Simplify right side
    2,877.27x = 9,234,517.16
  5. Step 5: Solve for x
    x = 9,234,517.16/2,877.27
  6. Step 6: Final answer
    x = 3,209.47

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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.