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Finding the Fourth Proportional to 3,198.88, 4,414.73 and 1,801.90

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Solution

The fourth proportional to 3,198.88, 4,414.73 and 1,801.90 is: 2,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.88 : 4,414.73 = 1,801.90 : x
  2. Step 2: Convert to fraction form
    3,198.88/4,414.73 = 1,801.90/x
  3. Step 3: Cross multiply
    3,198.88x = 4,414.73 × 1,801.90
  4. Step 4: Simplify right side
    3,198.88x = 7,954,892.98
  5. Step 5: Solve for x
    x = 7,954,892.98/3,198.88
  6. Step 6: Final answer
    x = 2,486.77

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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.