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Finding the Fourth Proportional to 1,196.61, 1,783.17 and 1,157.46

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Solution

The fourth proportional to 1,196.61, 1,783.17 and 1,157.46 is: 1,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.61 : 1,783.17 = 1,157.46 : x
  2. Step 2: Convert to fraction form
    1,196.61/1,783.17 = 1,157.46/x
  3. Step 3: Cross multiply
    1,196.61x = 1,783.17 × 1,157.46
  4. Step 4: Simplify right side
    1,196.61x = 2,063,947.95
  5. Step 5: Solve for x
    x = 2,063,947.95/1,196.61
  6. Step 6: Final answer
    x = 1,724.83

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