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Finding the Fourth Proportional to 1,193.64, 1,790.46 and 1,161.24

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Solution

The fourth proportional to 1,193.64, 1,790.46 and 1,161.24 is: 1,741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.64 : 1,790.46 = 1,161.24 : x
  2. Step 2: Convert to fraction form
    1,193.64/1,790.46 = 1,161.24/x
  3. Step 3: Cross multiply
    1,193.64x = 1,790.46 × 1,161.24
  4. Step 4: Simplify right side
    1,193.64x = 2,079,153.77
  5. Step 5: Solve for x
    x = 2,079,153.77/1,193.64
  6. Step 6: Final answer
    x = 1,741.86

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