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Finding the Fourth Proportional to 2,759, 4,138.06 and 1,115.12

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Solution

The fourth proportional to 2,759, 4,138.06 and 1,115.12 is: 1,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759 : 4,138.06 = 1,115.12 : x
  2. Step 2: Convert to fraction form
    2,759/4,138.06 = 1,115.12/x
  3. Step 3: Cross multiply
    2,759x = 4,138.06 × 1,115.12
  4. Step 4: Simplify right side
    2,759x = 4,614,433.47
  5. Step 5: Solve for x
    x = 4,614,433.47/2,759
  6. Step 6: Final answer
    x = 1,672.50

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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.