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Finding the Fourth Proportional to 1,998.14, 2,757.76 and 1,252.73

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Solution

The fourth proportional to 1,998.14, 2,757.76 and 1,252.73 is: 1,728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.14 : 2,757.76 = 1,252.73 : x
  2. Step 2: Convert to fraction form
    1,998.14/2,757.76 = 1,252.73/x
  3. Step 3: Cross multiply
    1,998.14x = 2,757.76 × 1,252.73
  4. Step 4: Simplify right side
    1,998.14x = 3,454,732.45
  5. Step 5: Solve for x
    x = 3,454,732.45/1,998.14
  6. Step 6: Final answer
    x = 1,728.98

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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.