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Finding the Fourth Proportional to 1,696.96, 2,540.68 and 1,382.72

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Solution

The fourth proportional to 1,696.96, 2,540.68 and 1,382.72 is: 2,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.96 : 2,540.68 = 1,382.72 : x
  2. Step 2: Convert to fraction form
    1,696.96/2,540.68 = 1,382.72/x
  3. Step 3: Cross multiply
    1,696.96x = 2,540.68 × 1,382.72
  4. Step 4: Simplify right side
    1,696.96x = 3,513,049.05
  5. Step 5: Solve for x
    x = 3,513,049.05/1,696.96
  6. Step 6: Final answer
    x = 2,070.20

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