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Finding the Fourth Proportional to 1,175.87, 1,764.61 and 1,166.75

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Solution

The fourth proportional to 1,175.87, 1,764.61 and 1,166.75 is: 1,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.87 : 1,764.61 = 1,166.75 : x
  2. Step 2: Convert to fraction form
    1,175.87/1,764.61 = 1,166.75/x
  3. Step 3: Cross multiply
    1,175.87x = 1,764.61 × 1,166.75
  4. Step 4: Simplify right side
    1,175.87x = 2,058,858.72
  5. Step 5: Solve for x
    x = 2,058,858.72/1,175.87
  6. Step 6: Final answer
    x = 1,750.92

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