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Finding the Fourth Proportional to 2,132.57, 3,198.90 and 671.72

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Solution

The fourth proportional to 2,132.57, 3,198.90 and 671.72 is: 1,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.57 : 3,198.90 = 671.72 : x
  2. Step 2: Convert to fraction form
    2,132.57/3,198.90 = 671.72/x
  3. Step 3: Cross multiply
    2,132.57x = 3,198.90 × 671.72
  4. Step 4: Simplify right side
    2,132.57x = 2,148,765.11
  5. Step 5: Solve for x
    x = 2,148,765.11/2,132.57
  6. Step 6: Final answer
    x = 1,007.59

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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.