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Finding the Fourth Proportional to 2,183.81, 3,275.71 and 722.57

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Solution

The fourth proportional to 2,183.81, 3,275.71 and 722.57 is: 1,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.81 : 3,275.71 = 722.57 : x
  2. Step 2: Convert to fraction form
    2,183.81/3,275.71 = 722.57/x
  3. Step 3: Cross multiply
    2,183.81x = 3,275.71 × 722.57
  4. Step 4: Simplify right side
    2,183.81x = 2,366,911.59
  5. Step 5: Solve for x
    x = 2,366,911.59/2,183.81
  6. Step 6: Final answer
    x = 1,083.85

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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.