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Finding the Fourth Proportional to 2,593.57, 3,579.14 and 1,414.67

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Solution

The fourth proportional to 2,593.57, 3,579.14 and 1,414.67 is: 1,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.57 : 3,579.14 = 1,414.67 : x
  2. Step 2: Convert to fraction form
    2,593.57/3,579.14 = 1,414.67/x
  3. Step 3: Cross multiply
    2,593.57x = 3,579.14 × 1,414.67
  4. Step 4: Simplify right side
    2,593.57x = 5,063,279.67
  5. Step 5: Solve for x
    x = 5,063,279.67/2,593.57
  6. Step 6: Final answer
    x = 1,952.24

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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.