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Finding the Fourth Proportional to 3,413.67, 4,704.66 and 2,351.49

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Solution

The fourth proportional to 3,413.67, 4,704.66 and 2,351.49 is: 3,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.67 : 4,704.66 = 2,351.49 : x
  2. Step 2: Convert to fraction form
    3,413.67/4,704.66 = 2,351.49/x
  3. Step 3: Cross multiply
    3,413.67x = 4,704.66 × 2,351.49
  4. Step 4: Simplify right side
    3,413.67x = 11,062,960.94
  5. Step 5: Solve for x
    x = 11,062,960.94/3,413.67
  6. Step 6: Final answer
    x = 3,240.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.