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Finding the Fourth Proportional to 1,463.82, 2,192.49 and 813.39

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Solution

The fourth proportional to 1,463.82, 2,192.49 and 813.39 is: 1,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.82 : 2,192.49 = 813.39 : x
  2. Step 2: Convert to fraction form
    1,463.82/2,192.49 = 813.39/x
  3. Step 3: Cross multiply
    1,463.82x = 2,192.49 × 813.39
  4. Step 4: Simplify right side
    1,463.82x = 1,783,349.44
  5. Step 5: Solve for x
    x = 1,783,349.44/1,463.82
  6. Step 6: Final answer
    x = 1,218.28

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