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Finding the Fourth Proportional to 2,474.12, 3,711.31 and 1,377.68

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Solution

The fourth proportional to 2,474.12, 3,711.31 and 1,377.68 is: 2,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.12 : 3,711.31 = 1,377.68 : x
  2. Step 2: Convert to fraction form
    2,474.12/3,711.31 = 1,377.68/x
  3. Step 3: Cross multiply
    2,474.12x = 3,711.31 × 1,377.68
  4. Step 4: Simplify right side
    2,474.12x = 5,112,975.56
  5. Step 5: Solve for x
    x = 5,112,975.56/2,474.12
  6. Step 6: Final answer
    x = 2,066.58

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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.