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Finding the Fourth Proportional to 1,614.13, 2,416.28 and 1,202.24

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Solution

The fourth proportional to 1,614.13, 2,416.28 and 1,202.24 is: 1,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.13 : 2,416.28 = 1,202.24 : x
  2. Step 2: Convert to fraction form
    1,614.13/2,416.28 = 1,202.24/x
  3. Step 3: Cross multiply
    1,614.13x = 2,416.28 × 1,202.24
  4. Step 4: Simplify right side
    1,614.13x = 2,904,955.26
  5. Step 5: Solve for x
    x = 2,904,955.26/1,614.13
  6. Step 6: Final answer
    x = 1,799.71

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