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Finding the Fourth Proportional to 2,674.92, 3,691.38 and 1,496

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Solution

The fourth proportional to 2,674.92, 3,691.38 and 1,496 is: 2,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.92 : 3,691.38 = 1,496 : x
  2. Step 2: Convert to fraction form
    2,674.92/3,691.38 = 1,496/x
  3. Step 3: Cross multiply
    2,674.92x = 3,691.38 × 1,496
  4. Step 4: Simplify right side
    2,674.92x = 5,522,304.48
  5. Step 5: Solve for x
    x = 5,522,304.48/2,674.92
  6. Step 6: Final answer
    x = 2,064.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.