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Finding the Fourth Proportional to 1,944, 2,914.17 and 774.73

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Solution

The fourth proportional to 1,944, 2,914.17 and 774.73 is: 1,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944 : 2,914.17 = 774.73 : x
  2. Step 2: Convert to fraction form
    1,944/2,914.17 = 774.73/x
  3. Step 3: Cross multiply
    1,944x = 2,914.17 × 774.73
  4. Step 4: Simplify right side
    1,944x = 2,257,676.48
  5. Step 5: Solve for x
    x = 2,257,676.48/1,944
  6. Step 6: Final answer
    x = 1,161.36

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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.