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Finding the Fourth Proportional to 2,227.95, 3,342.39 and 667.89

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Solution

The fourth proportional to 2,227.95, 3,342.39 and 667.89 is: 1,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.95 : 3,342.39 = 667.89 : x
  2. Step 2: Convert to fraction form
    2,227.95/3,342.39 = 667.89/x
  3. Step 3: Cross multiply
    2,227.95x = 3,342.39 × 667.89
  4. Step 4: Simplify right side
    2,227.95x = 2,232,348.86
  5. Step 5: Solve for x
    x = 2,232,348.86/2,227.95
  6. Step 6: Final answer
    x = 1,001.97

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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.