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Finding the Fourth Proportional to 2,122.46, 3,183.51 and 735.56

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Solution

The fourth proportional to 2,122.46, 3,183.51 and 735.56 is: 1,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.46 : 3,183.51 = 735.56 : x
  2. Step 2: Convert to fraction form
    2,122.46/3,183.51 = 735.56/x
  3. Step 3: Cross multiply
    2,122.46x = 3,183.51 × 735.56
  4. Step 4: Simplify right side
    2,122.46x = 2,341,662.62
  5. Step 5: Solve for x
    x = 2,341,662.62/2,122.46
  6. Step 6: Final answer
    x = 1,103.28

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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.