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Finding the Fourth Proportional to 2,743.80, 4,108.34 and 1,646.64

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Solution

The fourth proportional to 2,743.80, 4,108.34 and 1,646.64 is: 2,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.80 : 4,108.34 = 1,646.64 : x
  2. Step 2: Convert to fraction form
    2,743.80/4,108.34 = 1,646.64/x
  3. Step 3: Cross multiply
    2,743.80x = 4,108.34 × 1,646.64
  4. Step 4: Simplify right side
    2,743.80x = 6,764,956.98
  5. Step 5: Solve for x
    x = 6,764,956.98/2,743.80
  6. Step 6: Final answer
    x = 2,465.54

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