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Finding the Fourth Proportional to 2,579.28, 3,869.97 and 935.97

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Solution

The fourth proportional to 2,579.28, 3,869.97 and 935.97 is: 1,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.28 : 3,869.97 = 935.97 : x
  2. Step 2: Convert to fraction form
    2,579.28/3,869.97 = 935.97/x
  3. Step 3: Cross multiply
    2,579.28x = 3,869.97 × 935.97
  4. Step 4: Simplify right side
    2,579.28x = 3,622,175.82
  5. Step 5: Solve for x
    x = 3,622,175.82/2,579.28
  6. Step 6: Final answer
    x = 1,404.34

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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.