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Finding the Fourth Proportional to 2,722.60, 4,082.67 and 774.34

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Solution

The fourth proportional to 2,722.60, 4,082.67 and 774.34 is: 1,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.60 : 4,082.67 = 774.34 : x
  2. Step 2: Convert to fraction form
    2,722.60/4,082.67 = 774.34/x
  3. Step 3: Cross multiply
    2,722.60x = 4,082.67 × 774.34
  4. Step 4: Simplify right side
    2,722.60x = 3,161,354.27
  5. Step 5: Solve for x
    x = 3,161,354.27/2,722.60
  6. Step 6: Final answer
    x = 1,161.15

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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.