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Finding the Fourth Proportional to 1,593.78, 2,394.42 and 937.33

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Solution

The fourth proportional to 1,593.78, 2,394.42 and 937.33 is: 1,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.78 : 2,394.42 = 937.33 : x
  2. Step 2: Convert to fraction form
    1,593.78/2,394.42 = 937.33/x
  3. Step 3: Cross multiply
    1,593.78x = 2,394.42 × 937.33
  4. Step 4: Simplify right side
    1,593.78x = 2,244,375.62
  5. Step 5: Solve for x
    x = 2,244,375.62/1,593.78
  6. Step 6: Final answer
    x = 1,408.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.