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Finding the Fourth Proportional to 2,721.92, 4,082.28 and 774.08

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Solution

The fourth proportional to 2,721.92, 4,082.28 and 774.08 is: 1,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.92 : 4,082.28 = 774.08 : x
  2. Step 2: Convert to fraction form
    2,721.92/4,082.28 = 774.08/x
  3. Step 3: Cross multiply
    2,721.92x = 4,082.28 × 774.08
  4. Step 4: Simplify right side
    2,721.92x = 3,160,011.30
  5. Step 5: Solve for x
    x = 3,160,011.30/2,721.92
  6. Step 6: Final answer
    x = 1,160.95

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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.