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Finding the Fourth Proportional to 1,704.68, 2,554.26 and 1,640.72

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Solution

The fourth proportional to 1,704.68, 2,554.26 and 1,640.72 is: 2,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.68 : 2,554.26 = 1,640.72 : x
  2. Step 2: Convert to fraction form
    1,704.68/2,554.26 = 1,640.72/x
  3. Step 3: Cross multiply
    1,704.68x = 2,554.26 × 1,640.72
  4. Step 4: Simplify right side
    1,704.68x = 4,190,825.47
  5. Step 5: Solve for x
    x = 4,190,825.47/1,704.68
  6. Step 6: Final answer
    x = 2,458.42

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