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Finding the Fourth Proportional to 3,270.96, 4,906.13 and 931.18

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Solution

The fourth proportional to 3,270.96, 4,906.13 and 931.18 is: 1,396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.96 : 4,906.13 = 931.18 : x
  2. Step 2: Convert to fraction form
    3,270.96/4,906.13 = 931.18/x
  3. Step 3: Cross multiply
    3,270.96x = 4,906.13 × 931.18
  4. Step 4: Simplify right side
    3,270.96x = 4,568,465.60
  5. Step 5: Solve for x
    x = 4,568,465.60/3,270.96
  6. Step 6: Final answer
    x = 1,396.67

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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.