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Finding the Fourth Proportional to 2,660.20, 3,993.18 and 1,966.12

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Solution

The fourth proportional to 2,660.20, 3,993.18 and 1,966.12 is: 2,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.20 : 3,993.18 = 1,966.12 : x
  2. Step 2: Convert to fraction form
    2,660.20/3,993.18 = 1,966.12/x
  3. Step 3: Cross multiply
    2,660.20x = 3,993.18 × 1,966.12
  4. Step 4: Simplify right side
    2,660.20x = 7,851,071.06
  5. Step 5: Solve for x
    x = 7,851,071.06/2,660.20
  6. Step 6: Final answer
    x = 2,951.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.