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Finding the Fourth Proportional to 2,593.39, 3,578.86 and 1,414.51

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Solution

The fourth proportional to 2,593.39, 3,578.86 and 1,414.51 is: 1,952.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.39 : 3,578.86 = 1,414.51 : x
  2. Step 2: Convert to fraction form
    2,593.39/3,578.86 = 1,414.51/x
  3. Step 3: Cross multiply
    2,593.39x = 3,578.86 × 1,414.51
  4. Step 4: Simplify right side
    2,593.39x = 5,062,333.26
  5. Step 5: Solve for x
    x = 5,062,333.26/2,593.39
  6. Step 6: Final answer
    x = 1,952.01

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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.