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Finding the Fourth Proportional to 2,593.13, 3,578.51 and 1,414.18

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Solution

The fourth proportional to 2,593.13, 3,578.51 and 1,414.18 is: 1,951.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.13 : 3,578.51 = 1,414.18 : x
  2. Step 2: Convert to fraction form
    2,593.13/3,578.51 = 1,414.18/x
  3. Step 3: Cross multiply
    2,593.13x = 3,578.51 × 1,414.18
  4. Step 4: Simplify right side
    2,593.13x = 5,060,632.31
  5. Step 5: Solve for x
    x = 5,060,632.31/2,593.13
  6. Step 6: Final answer
    x = 1,951.55

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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.