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Finding the Fourth Proportional to 2,889.38, 3,988.88 and 2,224.78

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Solution

The fourth proportional to 2,889.38, 3,988.88 and 2,224.78 is: 3,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.38 : 3,988.88 = 2,224.78 : x
  2. Step 2: Convert to fraction form
    2,889.38/3,988.88 = 2,224.78/x
  3. Step 3: Cross multiply
    2,889.38x = 3,988.88 × 2,224.78
  4. Step 4: Simplify right side
    2,889.38x = 8,874,367.69
  5. Step 5: Solve for x
    x = 8,874,367.69/2,889.38
  6. Step 6: Final answer
    x = 3,071.37

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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.