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Finding the Fourth Proportional to 2,798.82, 4,198.47 and 851.04

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Solution

The fourth proportional to 2,798.82, 4,198.47 and 851.04 is: 1,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.82 : 4,198.47 = 851.04 : x
  2. Step 2: Convert to fraction form
    2,798.82/4,198.47 = 851.04/x
  3. Step 3: Cross multiply
    2,798.82x = 4,198.47 × 851.04
  4. Step 4: Simplify right side
    2,798.82x = 3,573,065.91
  5. Step 5: Solve for x
    x = 3,573,065.91/2,798.82
  6. Step 6: Final answer
    x = 1,276.63

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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.