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Finding the Fourth Proportional to 1,372.80, 2,056.80 and 1,166.40

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Solution

The fourth proportional to 1,372.80, 2,056.80 and 1,166.40 is: 1,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.80 : 2,056.80 = 1,166.40 : x
  2. Step 2: Convert to fraction form
    1,372.80/2,056.80 = 1,166.40/x
  3. Step 3: Cross multiply
    1,372.80x = 2,056.80 × 1,166.40
  4. Step 4: Simplify right side
    1,372.80x = 2,399,051.52
  5. Step 5: Solve for x
    x = 2,399,051.52/1,372.80
  6. Step 6: Final answer
    x = 1,747.56

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