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Finding the Fourth Proportional to 1,286.42, 1,929.90 and 1,250.78

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Solution

The fourth proportional to 1,286.42, 1,929.90 and 1,250.78 is: 1,876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.42 : 1,929.90 = 1,250.78 : x
  2. Step 2: Convert to fraction form
    1,286.42/1,929.90 = 1,250.78/x
  3. Step 3: Cross multiply
    1,286.42x = 1,929.90 × 1,250.78
  4. Step 4: Simplify right side
    1,286.42x = 2,413,880.32
  5. Step 5: Solve for x
    x = 2,413,880.32/1,286.42
  6. Step 6: Final answer
    x = 1,876.43

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