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Finding the Fourth Proportional to 1,157.64, 1,736.46 and 1,144.20

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Solution

The fourth proportional to 1,157.64, 1,736.46 and 1,144.20 is: 1,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.64 : 1,736.46 = 1,144.20 : x
  2. Step 2: Convert to fraction form
    1,157.64/1,736.46 = 1,144.20/x
  3. Step 3: Cross multiply
    1,157.64x = 1,736.46 × 1,144.20
  4. Step 4: Simplify right side
    1,157.64x = 1,986,857.53
  5. Step 5: Solve for x
    x = 1,986,857.53/1,157.64
  6. Step 6: Final answer
    x = 1,716.30

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