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Finding the Fourth Proportional to 2,722.17, 4,083.26 and 774.39

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Solution

The fourth proportional to 2,722.17, 4,083.26 and 774.39 is: 1,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.17 : 4,083.26 = 774.39 : x
  2. Step 2: Convert to fraction form
    2,722.17/4,083.26 = 774.39/x
  3. Step 3: Cross multiply
    2,722.17x = 4,083.26 × 774.39
  4. Step 4: Simplify right side
    2,722.17x = 3,162,031.84
  5. Step 5: Solve for x
    x = 3,162,031.84/2,722.17
  6. Step 6: Final answer
    x = 1,161.59

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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.