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Finding the Fourth Proportional to 2,413.68, 3,620.16 and 2,005.44

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Solution

The fourth proportional to 2,413.68, 3,620.16 and 2,005.44 is: 3,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.68 : 3,620.16 = 2,005.44 : x
  2. Step 2: Convert to fraction form
    2,413.68/3,620.16 = 2,005.44/x
  3. Step 3: Cross multiply
    2,413.68x = 3,620.16 × 2,005.44
  4. Step 4: Simplify right side
    2,413.68x = 7,260,013.67
  5. Step 5: Solve for x
    x = 7,260,013.67/2,413.68
  6. Step 6: Final answer
    x = 3,007.86

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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.