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Finding the Fourth Proportional to 3,173.91, 4,380.27 and 1,996.17

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Solution

The fourth proportional to 3,173.91, 4,380.27 and 1,996.17 is: 2,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.91 : 4,380.27 = 1,996.17 : x
  2. Step 2: Convert to fraction form
    3,173.91/4,380.27 = 1,996.17/x
  3. Step 3: Cross multiply
    3,173.91x = 4,380.27 × 1,996.17
  4. Step 4: Simplify right side
    3,173.91x = 8,743,763.57
  5. Step 5: Solve for x
    x = 8,743,763.57/3,173.91
  6. Step 6: Final answer
    x = 2,754.89

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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.