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Finding the Fourth Proportional to 2,857.58, 4,286.39 and 1,008.27

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Solution

The fourth proportional to 2,857.58, 4,286.39 and 1,008.27 is: 1,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.58 : 4,286.39 = 1,008.27 : x
  2. Step 2: Convert to fraction form
    2,857.58/4,286.39 = 1,008.27/x
  3. Step 3: Cross multiply
    2,857.58x = 4,286.39 × 1,008.27
  4. Step 4: Simplify right side
    2,857.58x = 4,321,845.46
  5. Step 5: Solve for x
    x = 4,321,845.46/2,857.58
  6. Step 6: Final answer
    x = 1,512.42

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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.