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Finding the Fourth Proportional to 1,193.91, 1,778.56 and 1,157.64

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Solution

The fourth proportional to 1,193.91, 1,778.56 and 1,157.64 is: 1,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.91 : 1,778.56 = 1,157.64 : x
  2. Step 2: Convert to fraction form
    1,193.91/1,778.56 = 1,157.64/x
  3. Step 3: Cross multiply
    1,193.91x = 1,778.56 × 1,157.64
  4. Step 4: Simplify right side
    1,193.91x = 2,058,926.41
  5. Step 5: Solve for x
    x = 2,058,926.41/1,193.91
  6. Step 6: Final answer
    x = 1,724.52

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