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Finding the Fourth Proportional to 2,131.90, 3,198.39 and 671.05

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Solution

The fourth proportional to 2,131.90, 3,198.39 and 671.05 is: 1,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.90 : 3,198.39 = 671.05 : x
  2. Step 2: Convert to fraction form
    2,131.90/3,198.39 = 671.05/x
  3. Step 3: Cross multiply
    2,131.90x = 3,198.39 × 671.05
  4. Step 4: Simplify right side
    2,131.90x = 2,146,279.61
  5. Step 5: Solve for x
    x = 2,146,279.61/2,131.90
  6. Step 6: Final answer
    x = 1,006.74

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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.