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Finding the Fourth Proportional to 2,967, 4,450.56 and 775.92

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Solution

The fourth proportional to 2,967, 4,450.56 and 775.92 is: 1,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967 : 4,450.56 = 775.92 : x
  2. Step 2: Convert to fraction form
    2,967/4,450.56 = 775.92/x
  3. Step 3: Cross multiply
    2,967x = 4,450.56 × 775.92
  4. Step 4: Simplify right side
    2,967x = 3,453,278.52
  5. Step 5: Solve for x
    x = 3,453,278.52/2,967
  6. Step 6: Final answer
    x = 1,163.90

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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.