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Finding the Fourth Proportional to 2,132.08, 3,197.70 and 671.32

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Solution

The fourth proportional to 2,132.08, 3,197.70 and 671.32 is: 1,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.08 : 3,197.70 = 671.32 : x
  2. Step 2: Convert to fraction form
    2,132.08/3,197.70 = 671.32/x
  3. Step 3: Cross multiply
    2,132.08x = 3,197.70 × 671.32
  4. Step 4: Simplify right side
    2,132.08x = 2,146,679.96
  5. Step 5: Solve for x
    x = 2,146,679.96/2,132.08
  6. Step 6: Final answer
    x = 1,006.85

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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.