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Finding the Fourth Proportional to 3,027.90, 4,179.90 and 1,909.38

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Solution

The fourth proportional to 3,027.90, 4,179.90 and 1,909.38 is: 2,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.90 : 4,179.90 = 1,909.38 : x
  2. Step 2: Convert to fraction form
    3,027.90/4,179.90 = 1,909.38/x
  3. Step 3: Cross multiply
    3,027.90x = 4,179.90 × 1,909.38
  4. Step 4: Simplify right side
    3,027.90x = 7,981,017.46
  5. Step 5: Solve for x
    x = 7,981,017.46/3,027.90
  6. Step 6: Final answer
    x = 2,635.83

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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.