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Finding the Fourth Proportional to 2,566.76, 3,843.90 and 1,467.78

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Solution

The fourth proportional to 2,566.76, 3,843.90 and 1,467.78 is: 2,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.76 : 3,843.90 = 1,467.78 : x
  2. Step 2: Convert to fraction form
    2,566.76/3,843.90 = 1,467.78/x
  3. Step 3: Cross multiply
    2,566.76x = 3,843.90 × 1,467.78
  4. Step 4: Simplify right side
    2,566.76x = 5,641,999.54
  5. Step 5: Solve for x
    x = 5,641,999.54/2,566.76
  6. Step 6: Final answer
    x = 2,198.10

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