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Finding the Fourth Proportional to 2,413.68, 3,331.17 and 1,365.54

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Solution

The fourth proportional to 2,413.68, 3,331.17 and 1,365.54 is: 1,884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.68 : 3,331.17 = 1,365.54 : x
  2. Step 2: Convert to fraction form
    2,413.68/3,331.17 = 1,365.54/x
  3. Step 3: Cross multiply
    2,413.68x = 3,331.17 × 1,365.54
  4. Step 4: Simplify right side
    2,413.68x = 4,548,845.88
  5. Step 5: Solve for x
    x = 4,548,845.88/2,413.68
  6. Step 6: Final answer
    x = 1,884.61

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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.