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Finding the Fourth Proportional to 3,131.85, 4,697.92 and 1,744.14

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Solution

The fourth proportional to 3,131.85, 4,697.92 and 1,744.14 is: 2,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.85 : 4,697.92 = 1,744.14 : x
  2. Step 2: Convert to fraction form
    3,131.85/4,697.92 = 1,744.14/x
  3. Step 3: Cross multiply
    3,131.85x = 4,697.92 × 1,744.14
  4. Step 4: Simplify right side
    3,131.85x = 8,193,821.47
  5. Step 5: Solve for x
    x = 8,193,821.47/3,131.85
  6. Step 6: Final answer
    x = 2,616.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.