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Finding the Fourth Proportional to 2,723.53, 4,085.94 and 775.75

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Solution

The fourth proportional to 2,723.53, 4,085.94 and 775.75 is: 1,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.53 : 4,085.94 = 775.75 : x
  2. Step 2: Convert to fraction form
    2,723.53/4,085.94 = 775.75/x
  3. Step 3: Cross multiply
    2,723.53x = 4,085.94 × 775.75
  4. Step 4: Simplify right side
    2,723.53x = 3,169,667.96
  5. Step 5: Solve for x
    x = 3,169,667.96/2,723.53
  6. Step 6: Final answer
    x = 1,163.81

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