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Finding the Fourth Proportional to 4,942.62, 7,413.66 and 1,244.84

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Solution

The fourth proportional to 4,942.62, 7,413.66 and 1,244.84 is: 1,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.62 : 7,413.66 = 1,244.84 : x
  2. Step 2: Convert to fraction form
    4,942.62/7,413.66 = 1,244.84/x
  3. Step 3: Cross multiply
    4,942.62x = 7,413.66 × 1,244.84
  4. Step 4: Simplify right side
    4,942.62x = 9,228,843.72
  5. Step 5: Solve for x
    x = 9,228,843.72/4,942.62
  6. Step 6: Final answer
    x = 1,867.20

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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.