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Finding the Fourth Proportional to 2,857.68, 4,286.52 and 2,208.87

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Solution

The fourth proportional to 2,857.68, 4,286.52 and 2,208.87 is: 3,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.68 : 4,286.52 = 2,208.87 : x
  2. Step 2: Convert to fraction form
    2,857.68/4,286.52 = 2,208.87/x
  3. Step 3: Cross multiply
    2,857.68x = 4,286.52 × 2,208.87
  4. Step 4: Simplify right side
    2,857.68x = 9,468,365.43
  5. Step 5: Solve for x
    x = 9,468,365.43/2,857.68
  6. Step 6: Final answer
    x = 3,313.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.