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Finding the Fourth Proportional to 2,183.52, 3,274.94 and 722.69

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Solution

The fourth proportional to 2,183.52, 3,274.94 and 722.69 is: 1,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.52 : 3,274.94 = 722.69 : x
  2. Step 2: Convert to fraction form
    2,183.52/3,274.94 = 722.69/x
  3. Step 3: Cross multiply
    2,183.52x = 3,274.94 × 722.69
  4. Step 4: Simplify right side
    2,183.52x = 2,366,751.82
  5. Step 5: Solve for x
    x = 2,366,751.82/2,183.52
  6. Step 6: Final answer
    x = 1,083.92

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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.