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Finding the Fourth Proportional to 1,601.92, 2,403.12 and 505.92

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Solution

The fourth proportional to 1,601.92, 2,403.12 and 505.92 is: 758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.92 : 2,403.12 = 505.92 : x
  2. Step 2: Convert to fraction form
    1,601.92/2,403.12 = 505.92/x
  3. Step 3: Cross multiply
    1,601.92x = 2,403.12 × 505.92
  4. Step 4: Simplify right side
    1,601.92x = 1,215,786.47
  5. Step 5: Solve for x
    x = 1,215,786.47/1,601.92
  6. Step 6: Final answer
    x = 758.96

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