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Finding the Fourth Proportional to 2,626.62, 3,940.15 and 871.25

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Solution

The fourth proportional to 2,626.62, 3,940.15 and 871.25 is: 1,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.62 : 3,940.15 = 871.25 : x
  2. Step 2: Convert to fraction form
    2,626.62/3,940.15 = 871.25/x
  3. Step 3: Cross multiply
    2,626.62x = 3,940.15 × 871.25
  4. Step 4: Simplify right side
    2,626.62x = 3,432,837.08
  5. Step 5: Solve for x
    x = 3,432,837.08/2,626.62
  6. Step 6: Final answer
    x = 1,306.94

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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.