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Finding the Fourth Proportional to 2,721.05, 4,082.25 and 773.23

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Solution

The fourth proportional to 2,721.05, 4,082.25 and 773.23 is: 1,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.05 : 4,082.25 = 773.23 : x
  2. Step 2: Convert to fraction form
    2,721.05/4,082.25 = 773.23/x
  3. Step 3: Cross multiply
    2,721.05x = 4,082.25 × 773.23
  4. Step 4: Simplify right side
    2,721.05x = 3,156,518.17
  5. Step 5: Solve for x
    x = 3,156,518.17/2,721.05
  6. Step 6: Final answer
    x = 1,160.04

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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.