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Finding the Fourth Proportional to 2,857.82, 4,286.70 and 1,542.65

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Solution

The fourth proportional to 2,857.82, 4,286.70 and 1,542.65 is: 2,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.82 : 4,286.70 = 1,542.65 : x
  2. Step 2: Convert to fraction form
    2,857.82/4,286.70 = 1,542.65/x
  3. Step 3: Cross multiply
    2,857.82x = 4,286.70 × 1,542.65
  4. Step 4: Simplify right side
    2,857.82x = 6,612,856.32
  5. Step 5: Solve for x
    x = 6,612,856.32/2,857.82
  6. Step 6: Final answer
    x = 2,313.96

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