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Finding the Fourth Proportional to 2,132.41, 3,198.15 and 671.22

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Solution

The fourth proportional to 2,132.41, 3,198.15 and 671.22 is: 1,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.41 : 3,198.15 = 671.22 : x
  2. Step 2: Convert to fraction form
    2,132.41/3,198.15 = 671.22/x
  3. Step 3: Cross multiply
    2,132.41x = 3,198.15 × 671.22
  4. Step 4: Simplify right side
    2,132.41x = 2,146,662.24
  5. Step 5: Solve for x
    x = 2,146,662.24/2,132.41
  6. Step 6: Final answer
    x = 1,006.68

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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.