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Finding the Fourth Proportional to 2,593.20, 3,578.58 and 1,414.20

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Solution

The fourth proportional to 2,593.20, 3,578.58 and 1,414.20 is: 1,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.20 : 3,578.58 = 1,414.20 : x
  2. Step 2: Convert to fraction form
    2,593.20/3,578.58 = 1,414.20/x
  3. Step 3: Cross multiply
    2,593.20x = 3,578.58 × 1,414.20
  4. Step 4: Simplify right side
    2,593.20x = 5,060,827.84
  5. Step 5: Solve for x
    x = 5,060,827.84/2,593.20
  6. Step 6: Final answer
    x = 1,951.58

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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.