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Finding the Fourth Proportional to 3,177.73, 4,766.60 and 1,327.84

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Solution

The fourth proportional to 3,177.73, 4,766.60 and 1,327.84 is: 1,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.73 : 4,766.60 = 1,327.84 : x
  2. Step 2: Convert to fraction form
    3,177.73/4,766.60 = 1,327.84/x
  3. Step 3: Cross multiply
    3,177.73x = 4,766.60 × 1,327.84
  4. Step 4: Simplify right side
    3,177.73x = 6,329,258.31
  5. Step 5: Solve for x
    x = 6,329,258.31/3,177.73
  6. Step 6: Final answer
    x = 1,991.75

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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.