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Finding the Fourth Proportional to 2,757.98, 4,137.42 and 809.94

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Solution

The fourth proportional to 2,757.98, 4,137.42 and 809.94 is: 1,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.98 : 4,137.42 = 809.94 : x
  2. Step 2: Convert to fraction form
    2,757.98/4,137.42 = 809.94/x
  3. Step 3: Cross multiply
    2,757.98x = 4,137.42 × 809.94
  4. Step 4: Simplify right side
    2,757.98x = 3,351,061.95
  5. Step 5: Solve for x
    x = 3,351,061.95/2,757.98
  6. Step 6: Final answer
    x = 1,215.04

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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.