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Finding the Fourth Proportional to 2,351.72, 3,527.65 and 871.31

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Solution

The fourth proportional to 2,351.72, 3,527.65 and 871.31 is: 1,306.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.72 : 3,527.65 = 871.31 : x
  2. Step 2: Convert to fraction form
    2,351.72/3,527.65 = 871.31/x
  3. Step 3: Cross multiply
    2,351.72x = 3,527.65 × 871.31
  4. Step 4: Simplify right side
    2,351.72x = 3,073,685.77
  5. Step 5: Solve for x
    x = 3,073,685.77/2,351.72
  6. Step 6: Final answer
    x = 1,306.99

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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.