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Finding the Fourth Proportional to 2,286.62, 3,413.37 and 2,009.84

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Solution

The fourth proportional to 2,286.62, 3,413.37 and 2,009.84 is: 3,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.62 : 3,413.37 = 2,009.84 : x
  2. Step 2: Convert to fraction form
    2,286.62/3,413.37 = 2,009.84/x
  3. Step 3: Cross multiply
    2,286.62x = 3,413.37 × 2,009.84
  4. Step 4: Simplify right side
    2,286.62x = 6,860,310.49
  5. Step 5: Solve for x
    x = 6,860,310.49/2,286.62
  6. Step 6: Final answer
    x = 3,000.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.