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Finding the Fourth Proportional to 2,574.12, 3,857.94 and 1,696.08

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Solution

The fourth proportional to 2,574.12, 3,857.94 and 1,696.08 is: 2,541.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.12 : 3,857.94 = 1,696.08 : x
  2. Step 2: Convert to fraction form
    2,574.12/3,857.94 = 1,696.08/x
  3. Step 3: Cross multiply
    2,574.12x = 3,857.94 × 1,696.08
  4. Step 4: Simplify right side
    2,574.12x = 6,543,374.88
  5. Step 5: Solve for x
    x = 6,543,374.88/2,574.12
  6. Step 6: Final answer
    x = 2,541.99

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