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Finding the Fourth Proportional to 2,878.20, 4,309.74 and 2,229.48

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Solution

The fourth proportional to 2,878.20, 4,309.74 and 2,229.48 is: 3,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.20 : 4,309.74 = 2,229.48 : x
  2. Step 2: Convert to fraction form
    2,878.20/4,309.74 = 2,229.48/x
  3. Step 3: Cross multiply
    2,878.20x = 4,309.74 × 2,229.48
  4. Step 4: Simplify right side
    2,878.20x = 9,608,479.14
  5. Step 5: Solve for x
    x = 9,608,479.14/2,878.20
  6. Step 6: Final answer
    x = 3,338.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.