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Finding the Fourth Proportional to 2,183.51, 3,274.50 and 722.27

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Solution

The fourth proportional to 2,183.51, 3,274.50 and 722.27 is: 1,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.51 : 3,274.50 = 722.27 : x
  2. Step 2: Convert to fraction form
    2,183.51/3,274.50 = 722.27/x
  3. Step 3: Cross multiply
    2,183.51x = 3,274.50 × 722.27
  4. Step 4: Simplify right side
    2,183.51x = 2,365,073.12
  5. Step 5: Solve for x
    x = 2,365,073.12/2,183.51
  6. Step 6: Final answer
    x = 1,083.15

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Double scale
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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.