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Finding the Fourth Proportional to 2,183.50, 3,275.28 and 1,211.50

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Solution

The fourth proportional to 2,183.50, 3,275.28 and 1,211.50 is: 1,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.50 : 3,275.28 = 1,211.50 : x
  2. Step 2: Convert to fraction form
    2,183.50/3,275.28 = 1,211.50/x
  3. Step 3: Cross multiply
    2,183.50x = 3,275.28 × 1,211.50
  4. Step 4: Simplify right side
    2,183.50x = 3,968,001.72
  5. Step 5: Solve for x
    x = 3,968,001.72/2,183.50
  6. Step 6: Final answer
    x = 1,817.27

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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.