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Finding the Fourth Proportional to 2,183.64, 3,274.25 and 722.00

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Solution

The fourth proportional to 2,183.64, 3,274.25 and 722.00 is: 1,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.64 : 3,274.25 = 722.00 : x
  2. Step 2: Convert to fraction form
    2,183.64/3,274.25 = 722.00/x
  3. Step 3: Cross multiply
    2,183.64x = 3,274.25 × 722.00
  4. Step 4: Simplify right side
    2,183.64x = 2,363,988.52
  5. Step 5: Solve for x
    x = 2,363,988.52/2,183.64
  6. Step 6: Final answer
    x = 1,082.59

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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.