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Finding the Fourth Proportional to 1,282.28, 1,914.05 and 1,100.84

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Solution

The fourth proportional to 1,282.28, 1,914.05 and 1,100.84 is: 1,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.28 : 1,914.05 = 1,100.84 : x
  2. Step 2: Convert to fraction form
    1,282.28/1,914.05 = 1,100.84/x
  3. Step 3: Cross multiply
    1,282.28x = 1,914.05 × 1,100.84
  4. Step 4: Simplify right side
    1,282.28x = 2,107,062.80
  5. Step 5: Solve for x
    x = 2,107,062.80/1,282.28
  6. Step 6: Final answer
    x = 1,643.22

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