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Finding the Fourth Proportional to 1,993.55, 2,990.42 and 760.73

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Solution

The fourth proportional to 1,993.55, 2,990.42 and 760.73 is: 1,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.55 : 2,990.42 = 760.73 : x
  2. Step 2: Convert to fraction form
    1,993.55/2,990.42 = 760.73/x
  3. Step 3: Cross multiply
    1,993.55x = 2,990.42 × 760.73
  4. Step 4: Simplify right side
    1,993.55x = 2,274,902.21
  5. Step 5: Solve for x
    x = 2,274,902.21/1,993.55
  6. Step 6: Final answer
    x = 1,141.13

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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.