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Finding the Fourth Proportional to 1,978.41, 2,967.58 and 808.40

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Solution

The fourth proportional to 1,978.41, 2,967.58 and 808.40 is: 1,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.41 : 2,967.58 = 808.40 : x
  2. Step 2: Convert to fraction form
    1,978.41/2,967.58 = 808.40/x
  3. Step 3: Cross multiply
    1,978.41x = 2,967.58 × 808.40
  4. Step 4: Simplify right side
    1,978.41x = 2,398,991.67
  5. Step 5: Solve for x
    x = 2,398,991.67/1,978.41
  6. Step 6: Final answer
    x = 1,212.59

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