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Finding the Fourth Proportional to 2,150.97, 3,227.40 and 2,067.14

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Solution

The fourth proportional to 2,150.97, 3,227.40 and 2,067.14 is: 3,101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.97 : 3,227.40 = 2,067.14 : x
  2. Step 2: Convert to fraction form
    2,150.97/3,227.40 = 2,067.14/x
  3. Step 3: Cross multiply
    2,150.97x = 3,227.40 × 2,067.14
  4. Step 4: Simplify right side
    2,150.97x = 6,671,471.50
  5. Step 5: Solve for x
    x = 6,671,471.50/2,150.97
  6. Step 6: Final answer
    x = 3,101.61

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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.