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Finding the Fourth Proportional to 2,129.68, 3,194.97 and 1,977.80

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Solution

The fourth proportional to 2,129.68, 3,194.97 and 1,977.80 is: 2,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.68 : 3,194.97 = 1,977.80 : x
  2. Step 2: Convert to fraction form
    2,129.68/3,194.97 = 1,977.80/x
  3. Step 3: Cross multiply
    2,129.68x = 3,194.97 × 1,977.80
  4. Step 4: Simplify right side
    2,129.68x = 6,319,011.67
  5. Step 5: Solve for x
    x = 6,319,011.67/2,129.68
  6. Step 6: Final answer
    x = 2,967.12

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