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Finding the Fourth Proportional to 2,963.52, 4,086.24 and 2,082.24

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Solution

The fourth proportional to 2,963.52, 4,086.24 and 2,082.24 is: 2,871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.52 : 4,086.24 = 2,082.24 : x
  2. Step 2: Convert to fraction form
    2,963.52/4,086.24 = 2,082.24/x
  3. Step 3: Cross multiply
    2,963.52x = 4,086.24 × 2,082.24
  4. Step 4: Simplify right side
    2,963.52x = 8,508,532.38
  5. Step 5: Solve for x
    x = 8,508,532.38/2,963.52
  6. Step 6: Final answer
    x = 2,871.09

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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.