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Finding the Fourth Proportional to 4,066.83, 6,096.06 and 1,600.65

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Solution

The fourth proportional to 4,066.83, 6,096.06 and 1,600.65 is: 2,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.83 : 6,096.06 = 1,600.65 : x
  2. Step 2: Convert to fraction form
    4,066.83/6,096.06 = 1,600.65/x
  3. Step 3: Cross multiply
    4,066.83x = 6,096.06 × 1,600.65
  4. Step 4: Simplify right side
    4,066.83x = 9,757,658.44
  5. Step 5: Solve for x
    x = 9,757,658.44/4,066.83
  6. Step 6: Final answer
    x = 2,399.33

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