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Finding the Fourth Proportional to 3,413.30, 5,115.29 and 1,655.87

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Solution

The fourth proportional to 3,413.30, 5,115.29 and 1,655.87 is: 2,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.30 : 5,115.29 = 1,655.87 : x
  2. Step 2: Convert to fraction form
    3,413.30/5,115.29 = 1,655.87/x
  3. Step 3: Cross multiply
    3,413.30x = 5,115.29 × 1,655.87
  4. Step 4: Simplify right side
    3,413.30x = 8,470,221.40
  5. Step 5: Solve for x
    x = 8,470,221.40/3,413.30
  6. Step 6: Final answer
    x = 2,481.54

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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.