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Finding the Fourth Proportional to 2,474.17, 3,711.20 and 1,012.97

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Solution

The fourth proportional to 2,474.17, 3,711.20 and 1,012.97 is: 1,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.17 : 3,711.20 = 1,012.97 : x
  2. Step 2: Convert to fraction form
    2,474.17/3,711.20 = 1,012.97/x
  3. Step 3: Cross multiply
    2,474.17x = 3,711.20 × 1,012.97
  4. Step 4: Simplify right side
    2,474.17x = 3,759,334.26
  5. Step 5: Solve for x
    x = 3,759,334.26/2,474.17
  6. Step 6: Final answer
    x = 1,519.43

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Why These Related Problems?

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