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Finding the Fourth Proportional to 2,798.74, 3,863.87 and 2,281.15

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Solution

The fourth proportional to 2,798.74, 3,863.87 and 2,281.15 is: 3,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.74 : 3,863.87 = 2,281.15 : x
  2. Step 2: Convert to fraction form
    2,798.74/3,863.87 = 2,281.15/x
  3. Step 3: Cross multiply
    2,798.74x = 3,863.87 × 2,281.15
  4. Step 4: Simplify right side
    2,798.74x = 8,814,067.05
  5. Step 5: Solve for x
    x = 8,814,067.05/2,798.74
  6. Step 6: Final answer
    x = 3,149.30

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