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Finding the Fourth Proportional to 3,255.84, 4,493.49 and 1,996.64

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Solution

The fourth proportional to 3,255.84, 4,493.49 and 1,996.64 is: 2,755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.84 : 4,493.49 = 1,996.64 : x
  2. Step 2: Convert to fraction form
    3,255.84/4,493.49 = 1,996.64/x
  3. Step 3: Cross multiply
    3,255.84x = 4,493.49 × 1,996.64
  4. Step 4: Simplify right side
    3,255.84x = 8,971,859.41
  5. Step 5: Solve for x
    x = 8,971,859.41/3,255.84
  6. Step 6: Final answer
    x = 2,755.62

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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.