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Finding the Fourth Proportional to 2,474.97, 3,712.46 and 994.19

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Solution

The fourth proportional to 2,474.97, 3,712.46 and 994.19 is: 1,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.97 : 3,712.46 = 994.19 : x
  2. Step 2: Convert to fraction form
    2,474.97/3,712.46 = 994.19/x
  3. Step 3: Cross multiply
    2,474.97x = 3,712.46 × 994.19
  4. Step 4: Simplify right side
    2,474.97x = 3,690,902.04
  5. Step 5: Solve for x
    x = 3,690,902.04/2,474.97
  6. Step 6: Final answer
    x = 1,491.29

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1.5x scale

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.