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Finding the Fourth Proportional to 2,569.41, 3,854.12 and 1,999.17

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Solution

The fourth proportional to 2,569.41, 3,854.12 and 1,999.17 is: 2,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.41 : 3,854.12 = 1,999.17 : x
  2. Step 2: Convert to fraction form
    2,569.41/3,854.12 = 1,999.17/x
  3. Step 3: Cross multiply
    2,569.41x = 3,854.12 × 1,999.17
  4. Step 4: Simplify right side
    2,569.41x = 7,705,031.08
  5. Step 5: Solve for x
    x = 7,705,031.08/2,569.41
  6. Step 6: Final answer
    x = 2,998.76

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