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Finding the Fourth Proportional to 2,997, 4,495.37 and 775.85

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Solution

The fourth proportional to 2,997, 4,495.37 and 775.85 is: 1,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997 : 4,495.37 = 775.85 : x
  2. Step 2: Convert to fraction form
    2,997/4,495.37 = 775.85/x
  3. Step 3: Cross multiply
    2,997x = 4,495.37 × 775.85
  4. Step 4: Simplify right side
    2,997x = 3,487,706.46
  5. Step 5: Solve for x
    x = 3,487,706.46/2,997
  6. Step 6: Final answer
    x = 1,163.73

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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.