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Finding the Fourth Proportional to 2,122.80, 3,183.42 and 735.78

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Solution

The fourth proportional to 2,122.80, 3,183.42 and 735.78 is: 1,103.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.80 : 3,183.42 = 735.78 : x
  2. Step 2: Convert to fraction form
    2,122.80/3,183.42 = 735.78/x
  3. Step 3: Cross multiply
    2,122.80x = 3,183.42 × 735.78
  4. Step 4: Simplify right side
    2,122.80x = 2,342,296.77
  5. Step 5: Solve for x
    x = 2,342,296.77/2,122.80
  6. Step 6: Final answer
    x = 1,103.40

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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.