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Finding the Fourth Proportional to 2,769.80, 4,162.80 and 2,413.40

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Solution

The fourth proportional to 2,769.80, 4,162.80 and 2,413.40 is: 3,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.80 : 4,162.80 = 2,413.40 : x
  2. Step 2: Convert to fraction form
    2,769.80/4,162.80 = 2,413.40/x
  3. Step 3: Cross multiply
    2,769.80x = 4,162.80 × 2,413.40
  4. Step 4: Simplify right side
    2,769.80x = 10,046,501.52
  5. Step 5: Solve for x
    x = 10,046,501.52/2,769.80
  6. Step 6: Final answer
    x = 3,627.16

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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.