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Finding the Fourth Proportional to 2,183.72, 3,275.62 and 722.88

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Solution

The fourth proportional to 2,183.72, 3,275.62 and 722.88 is: 1,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.72 : 3,275.62 = 722.88 : x
  2. Step 2: Convert to fraction form
    2,183.72/3,275.62 = 722.88/x
  3. Step 3: Cross multiply
    2,183.72x = 3,275.62 × 722.88
  4. Step 4: Simplify right side
    2,183.72x = 2,367,880.19
  5. Step 5: Solve for x
    x = 2,367,880.19/2,183.72
  6. Step 6: Final answer
    x = 1,084.33

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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.