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Finding the Fourth Proportional to 3,198.66, 4,414.42 and 1,872.50

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Solution

The fourth proportional to 3,198.66, 4,414.42 and 1,872.50 is: 2,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.66 : 4,414.42 = 1,872.50 : x
  2. Step 2: Convert to fraction form
    3,198.66/4,414.42 = 1,872.50/x
  3. Step 3: Cross multiply
    3,198.66x = 4,414.42 × 1,872.50
  4. Step 4: Simplify right side
    3,198.66x = 8,266,001.45
  5. Step 5: Solve for x
    x = 8,266,001.45/3,198.66
  6. Step 6: Final answer
    x = 2,584.21

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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.