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Finding the Fourth Proportional to 2,759.28, 4,138.92 and 679.29

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Solution

The fourth proportional to 2,759.28, 4,138.92 and 679.29 is: 1,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.28 : 4,138.92 = 679.29 : x
  2. Step 2: Convert to fraction form
    2,759.28/4,138.92 = 679.29/x
  3. Step 3: Cross multiply
    2,759.28x = 4,138.92 × 679.29
  4. Step 4: Simplify right side
    2,759.28x = 2,811,526.97
  5. Step 5: Solve for x
    x = 2,811,526.97/2,759.28
  6. Step 6: Final answer
    x = 1,018.94

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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.