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Finding the Fourth Proportional to 2,474.28, 3,705.48 and 1,744.20

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Solution

The fourth proportional to 2,474.28, 3,705.48 and 1,744.20 is: 2,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.28 : 3,705.48 = 1,744.20 : x
  2. Step 2: Convert to fraction form
    2,474.28/3,705.48 = 1,744.20/x
  3. Step 3: Cross multiply
    2,474.28x = 3,705.48 × 1,744.20
  4. Step 4: Simplify right side
    2,474.28x = 6,463,098.22
  5. Step 5: Solve for x
    x = 6,463,098.22/2,474.28
  6. Step 6: Final answer
    x = 2,612.11

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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.