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Finding the Fourth Proportional to 3,267.88, 4,507.86 and 2,149

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Solution

The fourth proportional to 3,267.88, 4,507.86 and 2,149 is: 2,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.88 : 4,507.86 = 2,149 : x
  2. Step 2: Convert to fraction form
    3,267.88/4,507.86 = 2,149/x
  3. Step 3: Cross multiply
    3,267.88x = 4,507.86 × 2,149
  4. Step 4: Simplify right side
    3,267.88x = 9,687,391.14
  5. Step 5: Solve for x
    x = 9,687,391.14/3,267.88
  6. Step 6: Final answer
    x = 2,964.43

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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.