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Finding the Fourth Proportional to 2,841.78, 3,921.62 and 1,646.31

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Solution

The fourth proportional to 2,841.78, 3,921.62 and 1,646.31 is: 2,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.78 : 3,921.62 = 1,646.31 : x
  2. Step 2: Convert to fraction form
    2,841.78/3,921.62 = 1,646.31/x
  3. Step 3: Cross multiply
    2,841.78x = 3,921.62 × 1,646.31
  4. Step 4: Simplify right side
    2,841.78x = 6,456,193.99
  5. Step 5: Solve for x
    x = 6,456,193.99/2,841.78
  6. Step 6: Final answer
    x = 2,271.88

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