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Finding the Fourth Proportional to 2,942.23, 4,414.01 and 994.38

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Solution

The fourth proportional to 2,942.23, 4,414.01 and 994.38 is: 1,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.23 : 4,414.01 = 994.38 : x
  2. Step 2: Convert to fraction form
    2,942.23/4,414.01 = 994.38/x
  3. Step 3: Cross multiply
    2,942.23x = 4,414.01 × 994.38
  4. Step 4: Simplify right side
    2,942.23x = 4,389,203.26
  5. Step 5: Solve for x
    x = 4,389,203.26/2,942.23
  6. Step 6: Final answer
    x = 1,491.79

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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.