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Finding the Fourth Proportional to 2,757.09, 4,134.78 and 907.80

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Solution

The fourth proportional to 2,757.09, 4,134.78 and 907.80 is: 1,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.09 : 4,134.78 = 907.80 : x
  2. Step 2: Convert to fraction form
    2,757.09/4,134.78 = 907.80/x
  3. Step 3: Cross multiply
    2,757.09x = 4,134.78 × 907.80
  4. Step 4: Simplify right side
    2,757.09x = 3,753,553.28
  5. Step 5: Solve for x
    x = 3,753,553.28/2,757.09
  6. Step 6: Final answer
    x = 1,361.42

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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.