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Finding the Fourth Proportional to 2,183.54, 3,273.93 and 722.30

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Solution

The fourth proportional to 2,183.54, 3,273.93 and 722.30 is: 1,082.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.54 : 3,273.93 = 722.30 : x
  2. Step 2: Convert to fraction form
    2,183.54/3,273.93 = 722.30/x
  3. Step 3: Cross multiply
    2,183.54x = 3,273.93 × 722.30
  4. Step 4: Simplify right side
    2,183.54x = 2,364,743.27
  5. Step 5: Solve for x
    x = 2,364,743.27/2,183.54
  6. Step 6: Final answer
    x = 1,082.99

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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.