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Finding the Fourth Proportional to 2,722.58, 4,082.66 and 774.34

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Solution

The fourth proportional to 2,722.58, 4,082.66 and 774.34 is: 1,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.58 : 4,082.66 = 774.34 : x
  2. Step 2: Convert to fraction form
    2,722.58/4,082.66 = 774.34/x
  3. Step 3: Cross multiply
    2,722.58x = 4,082.66 × 774.34
  4. Step 4: Simplify right side
    2,722.58x = 3,161,366.94
  5. Step 5: Solve for x
    x = 3,161,366.94/2,722.58
  6. Step 6: Final answer
    x = 1,161.17

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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.