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Finding the Fourth Proportional to 2,180.85, 3,269.66 and 699.21

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Solution

The fourth proportional to 2,180.85, 3,269.66 and 699.21 is: 1,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.85 : 3,269.66 = 699.21 : x
  2. Step 2: Convert to fraction form
    2,180.85/3,269.66 = 699.21/x
  3. Step 3: Cross multiply
    2,180.85x = 3,269.66 × 699.21
  4. Step 4: Simplify right side
    2,180.85x = 2,286,190.57
  5. Step 5: Solve for x
    x = 2,286,190.57/2,180.85
  6. Step 6: Final answer
    x = 1,048.30

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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.