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Finding the Fourth Proportional to 1,382.00, 1,905.80 and 1,172.75

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Solution

The fourth proportional to 1,382.00, 1,905.80 and 1,172.75 is: 1,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.00 : 1,905.80 = 1,172.75 : x
  2. Step 2: Convert to fraction form
    1,382.00/1,905.80 = 1,172.75/x
  3. Step 3: Cross multiply
    1,382.00x = 1,905.80 × 1,172.75
  4. Step 4: Simplify right side
    1,382.00x = 2,235,011.56
  5. Step 5: Solve for x
    x = 2,235,011.56/1,382.00
  6. Step 6: Final answer
    x = 1,617.24

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