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Finding the Fourth Proportional to 1,867.82, 2,804.12 and 1,166.10

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Solution

The fourth proportional to 1,867.82, 2,804.12 and 1,166.10 is: 1,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.82 : 2,804.12 = 1,166.10 : x
  2. Step 2: Convert to fraction form
    1,867.82/2,804.12 = 1,166.10/x
  3. Step 3: Cross multiply
    1,867.82x = 2,804.12 × 1,166.10
  4. Step 4: Simplify right side
    1,867.82x = 3,269,884.33
  5. Step 5: Solve for x
    x = 3,269,884.33/1,867.82
  6. Step 6: Final answer
    x = 1,750.64

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