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Finding the Fourth Proportional to 2,228.73, 3,338.97 and 1,610.90

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Solution

The fourth proportional to 2,228.73, 3,338.97 and 1,610.90 is: 2,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.73 : 3,338.97 = 1,610.90 : x
  2. Step 2: Convert to fraction form
    2,228.73/3,338.97 = 1,610.90/x
  3. Step 3: Cross multiply
    2,228.73x = 3,338.97 × 1,610.90
  4. Step 4: Simplify right side
    2,228.73x = 5,378,736.56
  5. Step 5: Solve for x
    x = 5,378,736.56/2,228.73
  6. Step 6: Final answer
    x = 2,413.37

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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.