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Finding the Fourth Proportional to 1,622, 2,433.12 and 511.68

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Solution

The fourth proportional to 1,622, 2,433.12 and 511.68 is: 767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622 : 2,433.12 = 511.68 : x
  2. Step 2: Convert to fraction form
    1,622/2,433.12 = 511.68/x
  3. Step 3: Cross multiply
    1,622x = 2,433.12 × 511.68
  4. Step 4: Simplify right side
    1,622x = 1,244,978.84
  5. Step 5: Solve for x
    x = 1,244,978.84/1,622
  6. Step 6: Final answer
    x = 767.56

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