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Finding the Fourth Proportional to 2,583.77, 3,873.29 and 1,659.56

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Solution

The fourth proportional to 2,583.77, 3,873.29 and 1,659.56 is: 2,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.77 : 3,873.29 = 1,659.56 : x
  2. Step 2: Convert to fraction form
    2,583.77/3,873.29 = 1,659.56/x
  3. Step 3: Cross multiply
    2,583.77x = 3,873.29 × 1,659.56
  4. Step 4: Simplify right side
    2,583.77x = 6,427,929.49
  5. Step 5: Solve for x
    x = 6,427,929.49/2,583.77
  6. Step 6: Final answer
    x = 2,487.82

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