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Finding the Fourth Proportional to 2,566.77, 3,850.35 and 1,105.56

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Solution

The fourth proportional to 2,566.77, 3,850.35 and 1,105.56 is: 1,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.77 : 3,850.35 = 1,105.56 : x
  2. Step 2: Convert to fraction form
    2,566.77/3,850.35 = 1,105.56/x
  3. Step 3: Cross multiply
    2,566.77x = 3,850.35 × 1,105.56
  4. Step 4: Simplify right side
    2,566.77x = 4,256,792.95
  5. Step 5: Solve for x
    x = 4,256,792.95/2,566.77
  6. Step 6: Final answer
    x = 1,658.42

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