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Finding the Fourth Proportional to 2,815.92, 4,219.05 and 1,992.84

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Solution

The fourth proportional to 2,815.92, 4,219.05 and 1,992.84 is: 2,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.92 : 4,219.05 = 1,992.84 : x
  2. Step 2: Convert to fraction form
    2,815.92/4,219.05 = 1,992.84/x
  3. Step 3: Cross multiply
    2,815.92x = 4,219.05 × 1,992.84
  4. Step 4: Simplify right side
    2,815.92x = 8,407,891.60
  5. Step 5: Solve for x
    x = 8,407,891.60/2,815.92
  6. Step 6: Final answer
    x = 2,985.84

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