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Finding the Fourth Proportional to 2,660.23, 3,990.17 and 994.03

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Solution

The fourth proportional to 2,660.23, 3,990.17 and 994.03 is: 1,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.23 : 3,990.17 = 994.03 : x
  2. Step 2: Convert to fraction form
    2,660.23/3,990.17 = 994.03/x
  3. Step 3: Cross multiply
    2,660.23x = 3,990.17 × 994.03
  4. Step 4: Simplify right side
    2,660.23x = 3,966,348.69
  5. Step 5: Solve for x
    x = 3,966,348.69/2,660.23
  6. Step 6: Final answer
    x = 1,490.98

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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.