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Finding the Fourth Proportional to 3,198.67, 4,414.02 and 1,872.49

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Solution

The fourth proportional to 3,198.67, 4,414.02 and 1,872.49 is: 2,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.67 : 4,414.02 = 1,872.49 : x
  2. Step 2: Convert to fraction form
    3,198.67/4,414.02 = 1,872.49/x
  3. Step 3: Cross multiply
    3,198.67x = 4,414.02 × 1,872.49
  4. Step 4: Simplify right side
    3,198.67x = 8,265,208.31
  5. Step 5: Solve for x
    x = 8,265,208.31/3,198.67
  6. Step 6: Final answer
    x = 2,583.95

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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.