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Finding the Fourth Proportional to 2,496.78, 3,747.04 and 938.32

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Solution

The fourth proportional to 2,496.78, 3,747.04 and 938.32 is: 1,408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.78 : 3,747.04 = 938.32 : x
  2. Step 2: Convert to fraction form
    2,496.78/3,747.04 = 938.32/x
  3. Step 3: Cross multiply
    2,496.78x = 3,747.04 × 938.32
  4. Step 4: Simplify right side
    2,496.78x = 3,515,910.86
  5. Step 5: Solve for x
    x = 3,515,910.86/2,496.78
  6. Step 6: Final answer
    x = 1,408.18

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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.