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Finding the Fourth Proportional to 2,793.31, 3,849.20 and 1,994.38

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Solution

The fourth proportional to 2,793.31, 3,849.20 and 1,994.38 is: 2,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.31 : 3,849.20 = 1,994.38 : x
  2. Step 2: Convert to fraction form
    2,793.31/3,849.20 = 1,994.38/x
  3. Step 3: Cross multiply
    2,793.31x = 3,849.20 × 1,994.38
  4. Step 4: Simplify right side
    2,793.31x = 7,676,767.50
  5. Step 5: Solve for x
    x = 7,676,767.50/2,793.31
  6. Step 6: Final answer
    x = 2,748.27

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Why These Related Problems?

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