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Finding the Fourth Proportional to 2,839, 4,258.92 and 1,378.24

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Solution

The fourth proportional to 2,839, 4,258.92 and 1,378.24 is: 2,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839 : 4,258.92 = 1,378.24 : x
  2. Step 2: Convert to fraction form
    2,839/4,258.92 = 1,378.24/x
  3. Step 3: Cross multiply
    2,839x = 4,258.92 × 1,378.24
  4. Step 4: Simplify right side
    2,839x = 5,869,813.90
  5. Step 5: Solve for x
    x = 5,869,813.90/2,839
  6. Step 6: Final answer
    x = 2,067.56

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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.