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Finding the Fourth Proportional to 2,967.08, 4,450.32 and 775.53

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Solution

The fourth proportional to 2,967.08, 4,450.32 and 775.53 is: 1,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.08 : 4,450.32 = 775.53 : x
  2. Step 2: Convert to fraction form
    2,967.08/4,450.32 = 775.53/x
  3. Step 3: Cross multiply
    2,967.08x = 4,450.32 × 775.53
  4. Step 4: Simplify right side
    2,967.08x = 3,451,356.67
  5. Step 5: Solve for x
    x = 3,451,356.67/2,967.08
  6. Step 6: Final answer
    x = 1,163.22

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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.