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Finding the Fourth Proportional to 3,214.82, 4,822.30 and 1,023.56

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Solution

The fourth proportional to 3,214.82, 4,822.30 and 1,023.56 is: 1,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.82 : 4,822.30 = 1,023.56 : x
  2. Step 2: Convert to fraction form
    3,214.82/4,822.30 = 1,023.56/x
  3. Step 3: Cross multiply
    3,214.82x = 4,822.30 × 1,023.56
  4. Step 4: Simplify right side
    3,214.82x = 4,935,913.39
  5. Step 5: Solve for x
    x = 4,935,913.39/3,214.82
  6. Step 6: Final answer
    x = 1,535.36

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