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Finding the Fourth Proportional to 2,527.34, 3,791.42 and 861.61

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Solution

The fourth proportional to 2,527.34, 3,791.42 and 861.61 is: 1,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.34 : 3,791.42 = 861.61 : x
  2. Step 2: Convert to fraction form
    2,527.34/3,791.42 = 861.61/x
  3. Step 3: Cross multiply
    2,527.34x = 3,791.42 × 861.61
  4. Step 4: Simplify right side
    2,527.34x = 3,266,711.60
  5. Step 5: Solve for x
    x = 3,266,711.60/2,527.34
  6. Step 6: Final answer
    x = 1,292.55

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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.