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Finding the Fourth Proportional to 2,593.52, 3,579 and 1,414.64

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Solution

The fourth proportional to 2,593.52, 3,579 and 1,414.64 is: 1,952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.52 : 3,579 = 1,414.64 : x
  2. Step 2: Convert to fraction form
    2,593.52/3,579 = 1,414.64/x
  3. Step 3: Cross multiply
    2,593.52x = 3,579 × 1,414.64
  4. Step 4: Simplify right side
    2,593.52x = 5,062,996.56
  5. Step 5: Solve for x
    x = 5,062,996.56/2,593.52
  6. Step 6: Final answer
    x = 1,952.17

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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.