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Finding the Fourth Proportional to 1,608.74, 2,413.92 and 743.66

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Solution

The fourth proportional to 1,608.74, 2,413.92 and 743.66 is: 1,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.74 : 2,413.92 = 743.66 : x
  2. Step 2: Convert to fraction form
    1,608.74/2,413.92 = 743.66/x
  3. Step 3: Cross multiply
    1,608.74x = 2,413.92 × 743.66
  4. Step 4: Simplify right side
    1,608.74x = 1,795,135.75
  5. Step 5: Solve for x
    x = 1,795,135.75/1,608.74
  6. Step 6: Final answer
    x = 1,115.86

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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.