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Finding the Fourth Proportional to 2,565.97, 3,848.95 and 1,981.82

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Solution

The fourth proportional to 2,565.97, 3,848.95 and 1,981.82 is: 2,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.97 : 3,848.95 = 1,981.82 : x
  2. Step 2: Convert to fraction form
    2,565.97/3,848.95 = 1,981.82/x
  3. Step 3: Cross multiply
    2,565.97x = 3,848.95 × 1,981.82
  4. Step 4: Simplify right side
    2,565.97x = 7,627,938.19
  5. Step 5: Solve for x
    x = 7,627,938.19/2,565.97
  6. Step 6: Final answer
    x = 2,972.73

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