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Finding the Fourth Proportional to 2,593.49, 3,578.90 and 1,474.52

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Solution

The fourth proportional to 2,593.49, 3,578.90 and 1,474.52 is: 2,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.49 : 3,578.90 = 1,474.52 : x
  2. Step 2: Convert to fraction form
    2,593.49/3,578.90 = 1,474.52/x
  3. Step 3: Cross multiply
    2,593.49x = 3,578.90 × 1,474.52
  4. Step 4: Simplify right side
    2,593.49x = 5,277,134.36
  5. Step 5: Solve for x
    x = 5,277,134.36/2,593.49
  6. Step 6: Final answer
    x = 2,034.77

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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.