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Finding the Fourth Proportional to 2,462.04, 3,398 and 2,381.04

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Solution

The fourth proportional to 2,462.04, 3,398 and 2,381.04 is: 3,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.04 : 3,398 = 2,381.04 : x
  2. Step 2: Convert to fraction form
    2,462.04/3,398 = 2,381.04/x
  3. Step 3: Cross multiply
    2,462.04x = 3,398 × 2,381.04
  4. Step 4: Simplify right side
    2,462.04x = 8,090,773.92
  5. Step 5: Solve for x
    x = 8,090,773.92/2,462.04
  6. Step 6: Final answer
    x = 3,286.21

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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.