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Finding the Fourth Proportional to 1,960.29, 2,940.48 and 662.67

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Solution

The fourth proportional to 1,960.29, 2,940.48 and 662.67 is: 994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.29 : 2,940.48 = 662.67 : x
  2. Step 2: Convert to fraction form
    1,960.29/2,940.48 = 662.67/x
  3. Step 3: Cross multiply
    1,960.29x = 2,940.48 × 662.67
  4. Step 4: Simplify right side
    1,960.29x = 1,948,567.88
  5. Step 5: Solve for x
    x = 1,948,567.88/1,960.29
  6. Step 6: Final answer
    x = 994.02

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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.