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Finding the Fourth Proportional to 2,628.56, 3,942.84 and 1,652.24

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Solution

The fourth proportional to 2,628.56, 3,942.84 and 1,652.24 is: 2,478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.56 : 3,942.84 = 1,652.24 : x
  2. Step 2: Convert to fraction form
    2,628.56/3,942.84 = 1,652.24/x
  3. Step 3: Cross multiply
    2,628.56x = 3,942.84 × 1,652.24
  4. Step 4: Simplify right side
    2,628.56x = 6,514,517.96
  5. Step 5: Solve for x
    x = 6,514,517.96/2,628.56
  6. Step 6: Final answer
    x = 2,478.36

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