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Finding the Fourth Proportional to 2,566.92, 3,854.16 and 2,099.80

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Solution

The fourth proportional to 2,566.92, 3,854.16 and 2,099.80 is: 3,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.92 : 3,854.16 = 2,099.80 : x
  2. Step 2: Convert to fraction form
    2,566.92/3,854.16 = 2,099.80/x
  3. Step 3: Cross multiply
    2,566.92x = 3,854.16 × 2,099.80
  4. Step 4: Simplify right side
    2,566.92x = 8,092,965.17
  5. Step 5: Solve for x
    x = 8,092,965.17/2,566.92
  6. Step 6: Final answer
    x = 3,152.79

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