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Finding the Fourth Proportional to 2,255.42, 3,383.12 and 939.14

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Solution

The fourth proportional to 2,255.42, 3,383.12 and 939.14 is: 1,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.42 : 3,383.12 = 939.14 : x
  2. Step 2: Convert to fraction form
    2,255.42/3,383.12 = 939.14/x
  3. Step 3: Cross multiply
    2,255.42x = 3,383.12 × 939.14
  4. Step 4: Simplify right side
    2,255.42x = 3,177,223.32
  5. Step 5: Solve for x
    x = 3,177,223.32/2,255.42
  6. Step 6: Final answer
    x = 1,408.71

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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.