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Finding the Fourth Proportional to 3,414.38, 4,712.84 and 1,998.42

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Solution

The fourth proportional to 3,414.38, 4,712.84 and 1,998.42 is: 2,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.38 : 4,712.84 = 1,998.42 : x
  2. Step 2: Convert to fraction form
    3,414.38/4,712.84 = 1,998.42/x
  3. Step 3: Cross multiply
    3,414.38x = 4,712.84 × 1,998.42
  4. Step 4: Simplify right side
    3,414.38x = 9,418,223.72
  5. Step 5: Solve for x
    x = 9,418,223.72/3,414.38
  6. Step 6: Final answer
    x = 2,758.40

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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.