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Finding the Fourth Proportional to 2,593.47, 3,579.09 and 1,414.59

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Solution

The fourth proportional to 2,593.47, 3,579.09 and 1,414.59 is: 1,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.47 : 3,579.09 = 1,414.59 : x
  2. Step 2: Convert to fraction form
    2,593.47/3,579.09 = 1,414.59/x
  3. Step 3: Cross multiply
    2,593.47x = 3,579.09 × 1,414.59
  4. Step 4: Simplify right side
    2,593.47x = 5,062,944.92
  5. Step 5: Solve for x
    x = 5,062,944.92/2,593.47
  6. Step 6: Final answer
    x = 1,952.19

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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.