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Finding the Fourth Proportional to 1,978.32, 2,961.60 and 1,282.96

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Solution

The fourth proportional to 1,978.32, 2,961.60 and 1,282.96 is: 1,920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.32 : 2,961.60 = 1,282.96 : x
  2. Step 2: Convert to fraction form
    1,978.32/2,961.60 = 1,282.96/x
  3. Step 3: Cross multiply
    1,978.32x = 2,961.60 × 1,282.96
  4. Step 4: Simplify right side
    1,978.32x = 3,799,614.34
  5. Step 5: Solve for x
    x = 3,799,614.34/1,978.32
  6. Step 6: Final answer
    x = 1,920.63

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