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Finding the Fourth Proportional to 1,788.27, 2,684.07 and 1,266.78

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Solution

The fourth proportional to 1,788.27, 2,684.07 and 1,266.78 is: 1,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.27 : 2,684.07 = 1,266.78 : x
  2. Step 2: Convert to fraction form
    1,788.27/2,684.07 = 1,266.78/x
  3. Step 3: Cross multiply
    1,788.27x = 2,684.07 × 1,266.78
  4. Step 4: Simplify right side
    1,788.27x = 3,400,126.19
  5. Step 5: Solve for x
    x = 3,400,126.19/1,788.27
  6. Step 6: Final answer
    x = 1,901.35

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