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Finding the Fourth Proportional to 1,282.36, 1,922.12 and 1,052.26

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Solution

The fourth proportional to 1,282.36, 1,922.12 and 1,052.26 is: 1,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.36 : 1,922.12 = 1,052.26 : x
  2. Step 2: Convert to fraction form
    1,282.36/1,922.12 = 1,052.26/x
  3. Step 3: Cross multiply
    1,282.36x = 1,922.12 × 1,052.26
  4. Step 4: Simplify right side
    1,282.36x = 2,022,569.99
  5. Step 5: Solve for x
    x = 2,022,569.99/1,282.36
  6. Step 6: Final answer
    x = 1,577.22

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