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Finding the Fourth Proportional to 3,174.73, 4,759.52 and 1,327.22

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Solution

The fourth proportional to 3,174.73, 4,759.52 and 1,327.22 is: 1,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.73 : 4,759.52 = 1,327.22 : x
  2. Step 2: Convert to fraction form
    3,174.73/4,759.52 = 1,327.22/x
  3. Step 3: Cross multiply
    3,174.73x = 4,759.52 × 1,327.22
  4. Step 4: Simplify right side
    3,174.73x = 6,316,930.13
  5. Step 5: Solve for x
    x = 6,316,930.13/3,174.73
  6. Step 6: Final answer
    x = 1,989.75

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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.