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Finding the Fourth Proportional to 4,880.85, 7,321.20 and 1,183.11

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Solution

The fourth proportional to 4,880.85, 7,321.20 and 1,183.11 is: 1,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.85 : 7,321.20 = 1,183.11 : x
  2. Step 2: Convert to fraction form
    4,880.85/7,321.20 = 1,183.11/x
  3. Step 3: Cross multiply
    4,880.85x = 7,321.20 × 1,183.11
  4. Step 4: Simplify right side
    4,880.85x = 8,661,769.59
  5. Step 5: Solve for x
    x = 8,661,769.59/4,880.85
  6. Step 6: Final answer
    x = 1,774.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.