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Finding the Fourth Proportional to 3,257.02, 4,493.64 and 1,996.77

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Solution

The fourth proportional to 3,257.02, 4,493.64 and 1,996.77 is: 2,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.02 : 4,493.64 = 1,996.77 : x
  2. Step 2: Convert to fraction form
    3,257.02/4,493.64 = 1,996.77/x
  3. Step 3: Cross multiply
    3,257.02x = 4,493.64 × 1,996.77
  4. Step 4: Simplify right side
    3,257.02x = 8,972,765.54
  5. Step 5: Solve for x
    x = 8,972,765.54/3,257.02
  6. Step 6: Final answer
    x = 2,754.90

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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.