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Finding the Fourth Proportional to 2,616.52, 3,920.17 and 1,381.21

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Solution

The fourth proportional to 2,616.52, 3,920.17 and 1,381.21 is: 2,069.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.52 : 3,920.17 = 1,381.21 : x
  2. Step 2: Convert to fraction form
    2,616.52/3,920.17 = 1,381.21/x
  3. Step 3: Cross multiply
    2,616.52x = 3,920.17 × 1,381.21
  4. Step 4: Simplify right side
    2,616.52x = 5,414,551.50
  5. Step 5: Solve for x
    x = 5,414,551.50/2,616.52
  6. Step 6: Final answer
    x = 2,069.37

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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.