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Finding the Fourth Proportional to 2,625.52, 3,938.88 and 871.08

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Solution

The fourth proportional to 2,625.52, 3,938.88 and 871.08 is: 1,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.52 : 3,938.88 = 871.08 : x
  2. Step 2: Convert to fraction form
    2,625.52/3,938.88 = 871.08/x
  3. Step 3: Cross multiply
    2,625.52x = 3,938.88 × 871.08
  4. Step 4: Simplify right side
    2,625.52x = 3,431,079.59
  5. Step 5: Solve for x
    x = 3,431,079.59/2,625.52
  6. Step 6: Final answer
    x = 1,306.82

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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.