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Finding the Fourth Proportional to 2,721.94, 4,082.55 and 774.30

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Solution

The fourth proportional to 2,721.94, 4,082.55 and 774.30 is: 1,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.94 : 4,082.55 = 774.30 : x
  2. Step 2: Convert to fraction form
    2,721.94/4,082.55 = 774.30/x
  3. Step 3: Cross multiply
    2,721.94x = 4,082.55 × 774.30
  4. Step 4: Simplify right side
    2,721.94x = 3,161,118.47
  5. Step 5: Solve for x
    x = 3,161,118.47/2,721.94
  6. Step 6: Final answer
    x = 1,161.35

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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.