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Finding the Fourth Proportional to 2,056.92, 3,083.68 and 1,285.80

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Solution

The fourth proportional to 2,056.92, 3,083.68 and 1,285.80 is: 1,927.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.92 : 3,083.68 = 1,285.80 : x
  2. Step 2: Convert to fraction form
    2,056.92/3,083.68 = 1,285.80/x
  3. Step 3: Cross multiply
    2,056.92x = 3,083.68 × 1,285.80
  4. Step 4: Simplify right side
    2,056.92x = 3,964,995.74
  5. Step 5: Solve for x
    x = 3,964,995.74/2,056.92
  6. Step 6: Final answer
    x = 1,927.64

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