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Finding the Fourth Proportional to 2,583.44, 3,875.18 and 1,023.82

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Solution

The fourth proportional to 2,583.44, 3,875.18 and 1,023.82 is: 1,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.44 : 3,875.18 = 1,023.82 : x
  2. Step 2: Convert to fraction form
    2,583.44/3,875.18 = 1,023.82/x
  3. Step 3: Cross multiply
    2,583.44x = 3,875.18 × 1,023.82
  4. Step 4: Simplify right side
    2,583.44x = 3,967,471.98
  5. Step 5: Solve for x
    x = 3,967,471.98/2,583.44
  6. Step 6: Final answer
    x = 1,535.73

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