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Finding the Fourth Proportional to 3,269.82, 4,512.45 and 1,777.80

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Solution

The fourth proportional to 3,269.82, 4,512.45 and 1,777.80 is: 2,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.82 : 4,512.45 = 1,777.80 : x
  2. Step 2: Convert to fraction form
    3,269.82/4,512.45 = 1,777.80/x
  3. Step 3: Cross multiply
    3,269.82x = 4,512.45 × 1,777.80
  4. Step 4: Simplify right side
    3,269.82x = 8,022,233.61
  5. Step 5: Solve for x
    x = 8,022,233.61/3,269.82
  6. Step 6: Final answer
    x = 2,453.42

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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.