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Finding the Fourth Proportional to 1,993.29, 2,989.70 and 1,160.82

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Solution

The fourth proportional to 1,993.29, 2,989.70 and 1,160.82 is: 1,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.29 : 2,989.70 = 1,160.82 : x
  2. Step 2: Convert to fraction form
    1,993.29/2,989.70 = 1,160.82/x
  3. Step 3: Cross multiply
    1,993.29x = 2,989.70 × 1,160.82
  4. Step 4: Simplify right side
    1,993.29x = 3,470,497.75
  5. Step 5: Solve for x
    x = 3,470,497.75/1,993.29
  6. Step 6: Final answer
    x = 1,741.09

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