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Finding the Fourth Proportional to 1,600.91, 2,399.72 and 1,161.06

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Solution

The fourth proportional to 1,600.91, 2,399.72 and 1,161.06 is: 1,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.91 : 2,399.72 = 1,161.06 : x
  2. Step 2: Convert to fraction form
    1,600.91/2,399.72 = 1,161.06/x
  3. Step 3: Cross multiply
    1,600.91x = 2,399.72 × 1,161.06
  4. Step 4: Simplify right side
    1,600.91x = 2,786,213.10
  5. Step 5: Solve for x
    x = 2,786,213.10/1,600.91
  6. Step 6: Final answer
    x = 1,740.39

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