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Finding the Fourth Proportional to 1,705.73, 2,556.83 and 1,157.96

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Solution

The fourth proportional to 1,705.73, 2,556.83 and 1,157.96 is: 1,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.73 : 2,556.83 = 1,157.96 : x
  2. Step 2: Convert to fraction form
    1,705.73/2,556.83 = 1,157.96/x
  3. Step 3: Cross multiply
    1,705.73x = 2,556.83 × 1,157.96
  4. Step 4: Simplify right side
    1,705.73x = 2,960,716.15
  5. Step 5: Solve for x
    x = 2,960,716.15/1,705.73
  6. Step 6: Final answer
    x = 1,735.75

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