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Finding the Fourth Proportional to 2,757, 3,793.50 and 2,661.24

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Solution

The fourth proportional to 2,757, 3,793.50 and 2,661.24 is: 3,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757 : 3,793.50 = 2,661.24 : x
  2. Step 2: Convert to fraction form
    2,757/3,793.50 = 2,661.24/x
  3. Step 3: Cross multiply
    2,757x = 3,793.50 × 2,661.24
  4. Step 4: Simplify right side
    2,757x = 10,095,413.94
  5. Step 5: Solve for x
    x = 10,095,413.94/2,757
  6. Step 6: Final answer
    x = 3,661.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.