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Finding the Fourth Proportional to 1,766.26, 2,646.69 and 1,400.14

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Solution

The fourth proportional to 1,766.26, 2,646.69 and 1,400.14 is: 2,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.26 : 2,646.69 = 1,400.14 : x
  2. Step 2: Convert to fraction form
    1,766.26/2,646.69 = 1,400.14/x
  3. Step 3: Cross multiply
    1,766.26x = 2,646.69 × 1,400.14
  4. Step 4: Simplify right side
    1,766.26x = 3,705,736.54
  5. Step 5: Solve for x
    x = 3,705,736.54/1,766.26
  6. Step 6: Final answer
    x = 2,098.07

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