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Finding the Fourth Proportional to 2,593.52, 3,892.11 and 1,408.91

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Solution

The fourth proportional to 2,593.52, 3,892.11 and 1,408.91 is: 2,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.52 : 3,892.11 = 1,408.91 : x
  2. Step 2: Convert to fraction form
    2,593.52/3,892.11 = 1,408.91/x
  3. Step 3: Cross multiply
    2,593.52x = 3,892.11 × 1,408.91
  4. Step 4: Simplify right side
    2,593.52x = 5,483,632.70
  5. Step 5: Solve for x
    x = 5,483,632.70/2,593.52
  6. Step 6: Final answer
    x = 2,114.36

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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.