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Finding the Fourth Proportional to 2,671.83, 3,691.31 and 2,229.57

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Solution

The fourth proportional to 2,671.83, 3,691.31 and 2,229.57 is: 3,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.83 : 3,691.31 = 2,229.57 : x
  2. Step 2: Convert to fraction form
    2,671.83/3,691.31 = 2,229.57/x
  3. Step 3: Cross multiply
    2,671.83x = 3,691.31 × 2,229.57
  4. Step 4: Simplify right side
    2,671.83x = 8,230,022.89
  5. Step 5: Solve for x
    x = 8,230,022.89/2,671.83
  6. Step 6: Final answer
    x = 3,080.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.