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Finding the Fourth Proportional to 2,796.30, 3,854.34 and 2,234.97

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Solution

The fourth proportional to 2,796.30, 3,854.34 and 2,234.97 is: 3,080.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.30 : 3,854.34 = 2,234.97 : x
  2. Step 2: Convert to fraction form
    2,796.30/3,854.34 = 2,234.97/x
  3. Step 3: Cross multiply
    2,796.30x = 3,854.34 × 2,234.97
  4. Step 4: Simplify right side
    2,796.30x = 8,614,334.27
  5. Step 5: Solve for x
    x = 8,614,334.27/2,796.30
  6. Step 6: Final answer
    x = 3,080.62

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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.