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Finding the Fourth Proportional to 1,978.83, 2,961.23 and 1,424.12

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Solution

The fourth proportional to 1,978.83, 2,961.23 and 1,424.12 is: 2,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.83 : 2,961.23 = 1,424.12 : x
  2. Step 2: Convert to fraction form
    1,978.83/2,961.23 = 1,424.12/x
  3. Step 3: Cross multiply
    1,978.83x = 2,961.23 × 1,424.12
  4. Step 4: Simplify right side
    1,978.83x = 4,217,124.94
  5. Step 5: Solve for x
    x = 4,217,124.94/1,978.83
  6. Step 6: Final answer
    x = 2,131.12

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