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Finding the Fourth Proportional to 2,789.75, 4,184.22 and 814.86

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Solution

The fourth proportional to 2,789.75, 4,184.22 and 814.86 is: 1,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.75 : 4,184.22 = 814.86 : x
  2. Step 2: Convert to fraction form
    2,789.75/4,184.22 = 814.86/x
  3. Step 3: Cross multiply
    2,789.75x = 4,184.22 × 814.86
  4. Step 4: Simplify right side
    2,789.75x = 3,409,549.69
  5. Step 5: Solve for x
    x = 3,409,549.69/2,789.75
  6. Step 6: Final answer
    x = 1,222.17

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