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Finding the Fourth Proportional to 1,206.73, 1,809.07 and 1,149.32

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Solution

The fourth proportional to 1,206.73, 1,809.07 and 1,149.32 is: 1,723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.73 : 1,809.07 = 1,149.32 : x
  2. Step 2: Convert to fraction form
    1,206.73/1,809.07 = 1,149.32/x
  3. Step 3: Cross multiply
    1,206.73x = 1,809.07 × 1,149.32
  4. Step 4: Simplify right side
    1,206.73x = 2,079,200.33
  5. Step 5: Solve for x
    x = 2,079,200.33/1,206.73
  6. Step 6: Final answer
    x = 1,723.00

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