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Finding the Fourth Proportional to 2,593.67, 3,579.27 and 1,414.76

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Solution

The fourth proportional to 2,593.67, 3,579.27 and 1,414.76 is: 1,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.67 : 3,579.27 = 1,414.76 : x
  2. Step 2: Convert to fraction form
    2,593.67/3,579.27 = 1,414.76/x
  3. Step 3: Cross multiply
    2,593.67x = 3,579.27 × 1,414.76
  4. Step 4: Simplify right side
    2,593.67x = 5,063,790.13
  5. Step 5: Solve for x
    x = 5,063,790.13/2,593.67
  6. Step 6: Final answer
    x = 1,952.37

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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.