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Finding the Fourth Proportional to 2,566.54, 3,850.94 and 2,455.82

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Solution

The fourth proportional to 2,566.54, 3,850.94 and 2,455.82 is: 3,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.54 : 3,850.94 = 2,455.82 : x
  2. Step 2: Convert to fraction form
    2,566.54/3,850.94 = 2,455.82/x
  3. Step 3: Cross multiply
    2,566.54x = 3,850.94 × 2,455.82
  4. Step 4: Simplify right side
    2,566.54x = 9,457,183.94
  5. Step 5: Solve for x
    x = 9,457,183.94/2,566.54
  6. Step 6: Final answer
    x = 3,684.80

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