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Finding the Fourth Proportional to 3,171.75, 4,759.65 and 2,442.75

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Solution

The fourth proportional to 3,171.75, 4,759.65 and 2,442.75 is: 3,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.75 : 4,759.65 = 2,442.75 : x
  2. Step 2: Convert to fraction form
    3,171.75/4,759.65 = 2,442.75/x
  3. Step 3: Cross multiply
    3,171.75x = 4,759.65 × 2,442.75
  4. Step 4: Simplify right side
    3,171.75x = 11,626,635.04
  5. Step 5: Solve for x
    x = 11,626,635.04/3,171.75
  6. Step 6: Final answer
    x = 3,665.68

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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.