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Finding the Fourth Proportional to 2,798.89, 4,198.56 and 851.09

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Solution

The fourth proportional to 2,798.89, 4,198.56 and 851.09 is: 1,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.89 : 4,198.56 = 851.09 : x
  2. Step 2: Convert to fraction form
    2,798.89/4,198.56 = 851.09/x
  3. Step 3: Cross multiply
    2,798.89x = 4,198.56 × 851.09
  4. Step 4: Simplify right side
    2,798.89x = 3,573,352.43
  5. Step 5: Solve for x
    x = 3,573,352.43/2,798.89
  6. Step 6: Final answer
    x = 1,276.71

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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.