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Finding the Fourth Proportional to 2,571.76, 3,857.84 and 1,110.56

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Solution

The fourth proportional to 2,571.76, 3,857.84 and 1,110.56 is: 1,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.76 : 3,857.84 = 1,110.56 : x
  2. Step 2: Convert to fraction form
    2,571.76/3,857.84 = 1,110.56/x
  3. Step 3: Cross multiply
    2,571.76x = 3,857.84 × 1,110.56
  4. Step 4: Simplify right side
    2,571.76x = 4,284,362.79
  5. Step 5: Solve for x
    x = 4,284,362.79/2,571.76
  6. Step 6: Final answer
    x = 1,665.93

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