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Finding the Fourth Proportional to 3,144.39, 4,339.28 and 1,747.14

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Solution

The fourth proportional to 3,144.39, 4,339.28 and 1,747.14 is: 2,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.39 : 4,339.28 = 1,747.14 : x
  2. Step 2: Convert to fraction form
    3,144.39/4,339.28 = 1,747.14/x
  3. Step 3: Cross multiply
    3,144.39x = 4,339.28 × 1,747.14
  4. Step 4: Simplify right side
    3,144.39x = 7,581,320.92
  5. Step 5: Solve for x
    x = 7,581,320.92/3,144.39
  6. Step 6: Final answer
    x = 2,411.06

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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.