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Finding the Fourth Proportional to 1,996.71, 2,757.20 and 1,251.93

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Solution

The fourth proportional to 1,996.71, 2,757.20 and 1,251.93 is: 1,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.71 : 2,757.20 = 1,251.93 : x
  2. Step 2: Convert to fraction form
    1,996.71/2,757.20 = 1,251.93/x
  3. Step 3: Cross multiply
    1,996.71x = 2,757.20 × 1,251.93
  4. Step 4: Simplify right side
    1,996.71x = 3,451,821.40
  5. Step 5: Solve for x
    x = 3,451,821.40/1,996.71
  6. Step 6: Final answer
    x = 1,728.75

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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.