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Finding the Fourth Proportional to 1,977.62, 2,967.74 and 1,320.23

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Solution

The fourth proportional to 1,977.62, 2,967.74 and 1,320.23 is: 1,981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.62 : 2,967.74 = 1,320.23 : x
  2. Step 2: Convert to fraction form
    1,977.62/2,967.74 = 1,320.23/x
  3. Step 3: Cross multiply
    1,977.62x = 2,967.74 × 1,320.23
  4. Step 4: Simplify right side
    1,977.62x = 3,918,105.15
  5. Step 5: Solve for x
    x = 3,918,105.15/1,977.62
  6. Step 6: Final answer
    x = 1,981.23

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