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Finding the Fourth Proportional to 1,978.06, 2,967.69 and 1,111.75

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Solution

The fourth proportional to 1,978.06, 2,967.69 and 1,111.75 is: 1,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.06 : 2,967.69 = 1,111.75 : x
  2. Step 2: Convert to fraction form
    1,978.06/2,967.69 = 1,111.75/x
  3. Step 3: Cross multiply
    1,978.06x = 2,967.69 × 1,111.75
  4. Step 4: Simplify right side
    1,978.06x = 3,299,329.36
  5. Step 5: Solve for x
    x = 3,299,329.36/1,978.06
  6. Step 6: Final answer
    x = 1,667.96

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