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Finding the Fourth Proportional to 2,593.36, 3,578.92 and 1,414.48

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Solution

The fourth proportional to 2,593.36, 3,578.92 and 1,414.48 is: 1,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.36 : 3,578.92 = 1,414.48 : x
  2. Step 2: Convert to fraction form
    2,593.36/3,578.92 = 1,414.48/x
  3. Step 3: Cross multiply
    2,593.36x = 3,578.92 × 1,414.48
  4. Step 4: Simplify right side
    2,593.36x = 5,062,310.76
  5. Step 5: Solve for x
    x = 5,062,310.76/2,593.36
  6. Step 6: Final answer
    x = 1,952.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.