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Finding the Fourth Proportional to 2,857.70, 4,286.55 and 1,103.24

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Solution

The fourth proportional to 2,857.70, 4,286.55 and 1,103.24 is: 1,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.70 : 4,286.55 = 1,103.24 : x
  2. Step 2: Convert to fraction form
    2,857.70/4,286.55 = 1,103.24/x
  3. Step 3: Cross multiply
    2,857.70x = 4,286.55 × 1,103.24
  4. Step 4: Simplify right side
    2,857.70x = 4,729,093.42
  5. Step 5: Solve for x
    x = 4,729,093.42/2,857.70
  6. Step 6: Final answer
    x = 1,654.86

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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.