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Finding the Fourth Proportional to 2,757.14, 3,805.07 and 1,578.29

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Solution

The fourth proportional to 2,757.14, 3,805.07 and 1,578.29 is: 2,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.14 : 3,805.07 = 1,578.29 : x
  2. Step 2: Convert to fraction form
    2,757.14/3,805.07 = 1,578.29/x
  3. Step 3: Cross multiply
    2,757.14x = 3,805.07 × 1,578.29
  4. Step 4: Simplify right side
    2,757.14x = 6,005,505.55
  5. Step 5: Solve for x
    x = 6,005,505.55/2,757.14
  6. Step 6: Final answer
    x = 2,178.17

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