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Finding the Fourth Proportional to 1,181.64, 1,772.46 and 1,149.24

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Solution

The fourth proportional to 1,181.64, 1,772.46 and 1,149.24 is: 1,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.64 : 1,772.46 = 1,149.24 : x
  2. Step 2: Convert to fraction form
    1,181.64/1,772.46 = 1,149.24/x
  3. Step 3: Cross multiply
    1,181.64x = 1,772.46 × 1,149.24
  4. Step 4: Simplify right side
    1,181.64x = 2,036,981.93
  5. Step 5: Solve for x
    x = 2,036,981.93/1,181.64
  6. Step 6: Final answer
    x = 1,723.86

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