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Finding the Fourth Proportional to 2,857.24, 4,286.37 and 882.85

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Solution

The fourth proportional to 2,857.24, 4,286.37 and 882.85 is: 1,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.24 : 4,286.37 = 882.85 : x
  2. Step 2: Convert to fraction form
    2,857.24/4,286.37 = 882.85/x
  3. Step 3: Cross multiply
    2,857.24x = 4,286.37 × 882.85
  4. Step 4: Simplify right side
    2,857.24x = 3,784,217.42
  5. Step 5: Solve for x
    x = 3,784,217.42/2,857.24
  6. Step 6: Final answer
    x = 1,324.43

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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.