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Finding the Fourth Proportional to 3,082.55, 4,253.82 and 1,738.24

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Solution

The fourth proportional to 3,082.55, 4,253.82 and 1,738.24 is: 2,398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.55 : 4,253.82 = 1,738.24 : x
  2. Step 2: Convert to fraction form
    3,082.55/4,253.82 = 1,738.24/x
  3. Step 3: Cross multiply
    3,082.55x = 4,253.82 × 1,738.24
  4. Step 4: Simplify right side
    3,082.55x = 7,394,160.08
  5. Step 5: Solve for x
    x = 7,394,160.08/3,082.55
  6. Step 6: Final answer
    x = 2,398.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.