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Finding the Fourth Proportional to 2,413.45, 3,614.02 and 1,589.22

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Solution

The fourth proportional to 2,413.45, 3,614.02 and 1,589.22 is: 2,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.45 : 3,614.02 = 1,589.22 : x
  2. Step 2: Convert to fraction form
    2,413.45/3,614.02 = 1,589.22/x
  3. Step 3: Cross multiply
    2,413.45x = 3,614.02 × 1,589.22
  4. Step 4: Simplify right side
    2,413.45x = 5,743,468.89
  5. Step 5: Solve for x
    x = 5,743,468.89/2,413.45
  6. Step 6: Final answer
    x = 2,379.78

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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.