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Finding the Fourth Proportional to 1,960.82, 2,941.63 and 662.27

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Solution

The fourth proportional to 1,960.82, 2,941.63 and 662.27 is: 993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.82 : 2,941.63 = 662.27 : x
  2. Step 2: Convert to fraction form
    1,960.82/2,941.63 = 662.27/x
  3. Step 3: Cross multiply
    1,960.82x = 2,941.63 × 662.27
  4. Step 4: Simplify right side
    1,960.82x = 1,948,136.94
  5. Step 5: Solve for x
    x = 1,948,136.94/1,960.82
  6. Step 6: Final answer
    x = 993.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.