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Finding the Fourth Proportional to 4,881, 7,321.50 and 1,183.22

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Solution

The fourth proportional to 4,881, 7,321.50 and 1,183.22 is: 1,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881 : 7,321.50 = 1,183.22 : x
  2. Step 2: Convert to fraction form
    4,881/7,321.50 = 1,183.22/x
  3. Step 3: Cross multiply
    4,881x = 7,321.50 × 1,183.22
  4. Step 4: Simplify right side
    4,881x = 8,662,908.62
  5. Step 5: Solve for x
    x = 8,662,908.62/4,881
  6. Step 6: Final answer
    x = 1,774.82

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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.