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Finding the Fourth Proportional to 1,705.88, 2,558.94 and 1,157.84

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Solution

The fourth proportional to 1,705.88, 2,558.94 and 1,157.84 is: 1,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.88 : 2,558.94 = 1,157.84 : x
  2. Step 2: Convert to fraction form
    1,705.88/2,558.94 = 1,157.84/x
  3. Step 3: Cross multiply
    1,705.88x = 2,558.94 × 1,157.84
  4. Step 4: Simplify right side
    1,705.88x = 2,962,843.09
  5. Step 5: Solve for x
    x = 2,962,843.09/1,705.88
  6. Step 6: Final answer
    x = 1,736.84

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