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Finding the Fourth Proportional to 1,282.55, 1,921.80 and 1,108.40

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Solution

The fourth proportional to 1,282.55, 1,921.80 and 1,108.40 is: 1,660.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.55 : 1,921.80 = 1,108.40 : x
  2. Step 2: Convert to fraction form
    1,282.55/1,921.80 = 1,108.40/x
  3. Step 3: Cross multiply
    1,282.55x = 1,921.80 × 1,108.40
  4. Step 4: Simplify right side
    1,282.55x = 2,130,123.12
  5. Step 5: Solve for x
    x = 2,130,123.12/1,282.55
  6. Step 6: Final answer
    x = 1,660.85

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