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Finding the Fourth Proportional to 3,207.50, 4,805.79 and 2,278.46

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Solution

The fourth proportional to 3,207.50, 4,805.79 and 2,278.46 is: 3,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.50 : 4,805.79 = 2,278.46 : x
  2. Step 2: Convert to fraction form
    3,207.50/4,805.79 = 2,278.46/x
  3. Step 3: Cross multiply
    3,207.50x = 4,805.79 × 2,278.46
  4. Step 4: Simplify right side
    3,207.50x = 10,949,800.28
  5. Step 5: Solve for x
    x = 10,949,800.28/3,207.50
  6. Step 6: Final answer
    x = 3,413.81

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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.