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Finding the Fourth Proportional to 2,327.52, 3,486.42 and 2,167.68

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Solution

The fourth proportional to 2,327.52, 3,486.42 and 2,167.68 is: 3,246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.52 : 3,486.42 = 2,167.68 : x
  2. Step 2: Convert to fraction form
    2,327.52/3,486.42 = 2,167.68/x
  3. Step 3: Cross multiply
    2,327.52x = 3,486.42 × 2,167.68
  4. Step 4: Simplify right side
    2,327.52x = 7,557,442.91
  5. Step 5: Solve for x
    x = 7,557,442.91/2,327.52
  6. Step 6: Final answer
    x = 3,246.99

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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.