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Finding the Fourth Proportional to 1,705.68, 2,559.74 and 1,158.39

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Solution

The fourth proportional to 1,705.68, 2,559.74 and 1,158.39 is: 1,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.68 : 2,559.74 = 1,158.39 : x
  2. Step 2: Convert to fraction form
    1,705.68/2,559.74 = 1,158.39/x
  3. Step 3: Cross multiply
    1,705.68x = 2,559.74 × 1,158.39
  4. Step 4: Simplify right side
    1,705.68x = 2,965,171.43
  5. Step 5: Solve for x
    x = 2,965,171.43/1,705.68
  6. Step 6: Final answer
    x = 1,738.41

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