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Finding the Fourth Proportional to 2,642.10, 3,951.27 and 2,351.31

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Solution

The fourth proportional to 2,642.10, 3,951.27 and 2,351.31 is: 3,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.10 : 3,951.27 = 2,351.31 : x
  2. Step 2: Convert to fraction form
    2,642.10/3,951.27 = 2,351.31/x
  3. Step 3: Cross multiply
    2,642.10x = 3,951.27 × 2,351.31
  4. Step 4: Simplify right side
    2,642.10x = 9,290,660.66
  5. Step 5: Solve for x
    x = 9,290,660.66/2,642.10
  6. Step 6: Final answer
    x = 3,516.39

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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.