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Finding the Fourth Proportional to 2,646.78, 3,970.29 and 2,183.70

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Solution

The fourth proportional to 2,646.78, 3,970.29 and 2,183.70 is: 3,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.78 : 3,970.29 = 2,183.70 : x
  2. Step 2: Convert to fraction form
    2,646.78/3,970.29 = 2,183.70/x
  3. Step 3: Cross multiply
    2,646.78x = 3,970.29 × 2,183.70
  4. Step 4: Simplify right side
    2,646.78x = 8,669,922.27
  5. Step 5: Solve for x
    x = 8,669,922.27/2,646.78
  6. Step 6: Final answer
    x = 3,275.65

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