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Finding the Fourth Proportional to 2,227.76, 3,070.89 and 1,667.38

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Solution

The fourth proportional to 2,227.76, 3,070.89 and 1,667.38 is: 2,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.76 : 3,070.89 = 1,667.38 : x
  2. Step 2: Convert to fraction form
    2,227.76/3,070.89 = 1,667.38/x
  3. Step 3: Cross multiply
    2,227.76x = 3,070.89 × 1,667.38
  4. Step 4: Simplify right side
    2,227.76x = 5,120,340.57
  5. Step 5: Solve for x
    x = 5,120,340.57/2,227.76
  6. Step 6: Final answer
    x = 2,298.43

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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.