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Finding the Fourth Proportional to 1,257.78, 1,884.61 and 1,209.78

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Solution

The fourth proportional to 1,257.78, 1,884.61 and 1,209.78 is: 1,812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.78 : 1,884.61 = 1,209.78 : x
  2. Step 2: Convert to fraction form
    1,257.78/1,884.61 = 1,209.78/x
  3. Step 3: Cross multiply
    1,257.78x = 1,884.61 × 1,209.78
  4. Step 4: Simplify right side
    1,257.78x = 2,279,963.49
  5. Step 5: Solve for x
    x = 2,279,963.49/1,257.78
  6. Step 6: Final answer
    x = 1,812.69

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