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Finding the Fourth Proportional to 2,642.14, 3,951.56 and 2,351.55

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Solution

The fourth proportional to 2,642.14, 3,951.56 and 2,351.55 is: 3,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.14 : 3,951.56 = 2,351.55 : x
  2. Step 2: Convert to fraction form
    2,642.14/3,951.56 = 2,351.55/x
  3. Step 3: Cross multiply
    2,642.14x = 3,951.56 × 2,351.55
  4. Step 4: Simplify right side
    2,642.14x = 9,292,290.92
  5. Step 5: Solve for x
    x = 9,292,290.92/2,642.14
  6. Step 6: Final answer
    x = 3,516.96

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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.