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Finding the Fourth Proportional to 1,456.53, 2,182.97 and 1,147.16

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Solution

The fourth proportional to 1,456.53, 2,182.97 and 1,147.16 is: 1,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.53 : 2,182.97 = 1,147.16 : x
  2. Step 2: Convert to fraction form
    1,456.53/2,182.97 = 1,147.16/x
  3. Step 3: Cross multiply
    1,456.53x = 2,182.97 × 1,147.16
  4. Step 4: Simplify right side
    1,456.53x = 2,504,215.87
  5. Step 5: Solve for x
    x = 2,504,215.87/1,456.53
  6. Step 6: Final answer
    x = 1,719.30

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