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Finding the Fourth Proportional to 3,123.60, 4,685.49 and 1,745.73

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Solution

The fourth proportional to 3,123.60, 4,685.49 and 1,745.73 is: 2,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.60 : 4,685.49 = 1,745.73 : x
  2. Step 2: Convert to fraction form
    3,123.60/4,685.49 = 1,745.73/x
  3. Step 3: Cross multiply
    3,123.60x = 4,685.49 × 1,745.73
  4. Step 4: Simplify right side
    3,123.60x = 8,179,600.46
  5. Step 5: Solve for x
    x = 8,179,600.46/3,123.60
  6. Step 6: Final answer
    x = 2,618.65

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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.