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Finding the Fourth Proportional to 2,874.67, 4,310.17 and 1,413.83

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Solution

The fourth proportional to 2,874.67, 4,310.17 and 1,413.83 is: 2,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.67 : 4,310.17 = 1,413.83 : x
  2. Step 2: Convert to fraction form
    2,874.67/4,310.17 = 1,413.83/x
  3. Step 3: Cross multiply
    2,874.67x = 4,310.17 × 1,413.83
  4. Step 4: Simplify right side
    2,874.67x = 6,093,847.65
  5. Step 5: Solve for x
    x = 6,093,847.65/2,874.67
  6. Step 6: Final answer
    x = 2,119.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.