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Finding the Fourth Proportional to 2,662.61, 3,993.85 and 931.19

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Solution

The fourth proportional to 2,662.61, 3,993.85 and 931.19 is: 1,396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.61 : 3,993.85 = 931.19 : x
  2. Step 2: Convert to fraction form
    2,662.61/3,993.85 = 931.19/x
  3. Step 3: Cross multiply
    2,662.61x = 3,993.85 × 931.19
  4. Step 4: Simplify right side
    2,662.61x = 3,719,033.18
  5. Step 5: Solve for x
    x = 3,719,033.18/2,662.61
  6. Step 6: Final answer
    x = 1,396.76

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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.