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Finding the Fourth Proportional to 2,558.68, 3,837.18 and 1,687.24

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Solution

The fourth proportional to 2,558.68, 3,837.18 and 1,687.24 is: 2,530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.68 : 3,837.18 = 1,687.24 : x
  2. Step 2: Convert to fraction form
    2,558.68/3,837.18 = 1,687.24/x
  3. Step 3: Cross multiply
    2,558.68x = 3,837.18 × 1,687.24
  4. Step 4: Simplify right side
    2,558.68x = 6,474,243.58
  5. Step 5: Solve for x
    x = 6,474,243.58/2,558.68
  6. Step 6: Final answer
    x = 2,530.31

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