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Finding the Fourth Proportional to 1,696.26, 2,537.46 and 1,282.32

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Solution

The fourth proportional to 1,696.26, 2,537.46 and 1,282.32 is: 1,918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.26 : 2,537.46 = 1,282.32 : x
  2. Step 2: Convert to fraction form
    1,696.26/2,537.46 = 1,282.32/x
  3. Step 3: Cross multiply
    1,696.26x = 2,537.46 × 1,282.32
  4. Step 4: Simplify right side
    1,696.26x = 3,253,835.71
  5. Step 5: Solve for x
    x = 3,253,835.71/1,696.26
  6. Step 6: Final answer
    x = 1,918.24

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