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Finding the Fourth Proportional to 2,593.73, 3,579.42 and 1,414.82

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Solution

The fourth proportional to 2,593.73, 3,579.42 and 1,414.82 is: 1,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.73 : 3,579.42 = 1,414.82 : x
  2. Step 2: Convert to fraction form
    2,593.73/3,579.42 = 1,414.82/x
  3. Step 3: Cross multiply
    2,593.73x = 3,579.42 × 1,414.82
  4. Step 4: Simplify right side
    2,593.73x = 5,064,235.00
  5. Step 5: Solve for x
    x = 5,064,235.00/2,593.73
  6. Step 6: Final answer
    x = 1,952.49

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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.