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Finding the Fourth Proportional to 1,209.81, 1,814.02 and 1,106.61

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Solution

The fourth proportional to 1,209.81, 1,814.02 and 1,106.61 is: 1,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.81 : 1,814.02 = 1,106.61 : x
  2. Step 2: Convert to fraction form
    1,209.81/1,814.02 = 1,106.61/x
  3. Step 3: Cross multiply
    1,209.81x = 1,814.02 × 1,106.61
  4. Step 4: Simplify right side
    1,209.81x = 2,007,412.67
  5. Step 5: Solve for x
    x = 2,007,412.67/1,209.81
  6. Step 6: Final answer
    x = 1,659.28

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