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Finding the Fourth Proportional to 2,566.31, 3,853.90 and 2,449.44

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Solution

The fourth proportional to 2,566.31, 3,853.90 and 2,449.44 is: 3,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.31 : 3,853.90 = 2,449.44 : x
  2. Step 2: Convert to fraction form
    2,566.31/3,853.90 = 2,449.44/x
  3. Step 3: Cross multiply
    2,566.31x = 3,853.90 × 2,449.44
  4. Step 4: Simplify right side
    2,566.31x = 9,439,906.77
  5. Step 5: Solve for x
    x = 9,439,906.77/2,566.31
  6. Step 6: Final answer
    x = 3,678.40

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