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Finding the Fourth Proportional to 3,255.78, 4,493.40 and 1,996.58

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Solution

The fourth proportional to 3,255.78, 4,493.40 and 1,996.58 is: 2,755.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.78 : 4,493.40 = 1,996.58 : x
  2. Step 2: Convert to fraction form
    3,255.78/4,493.40 = 1,996.58/x
  3. Step 3: Cross multiply
    3,255.78x = 4,493.40 × 1,996.58
  4. Step 4: Simplify right side
    3,255.78x = 8,971,432.57
  5. Step 5: Solve for x
    x = 8,971,432.57/3,255.78
  6. Step 6: Final answer
    x = 2,755.54

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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.