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Finding the Fourth Proportional to 2,183.50, 3,275.82 and 644.50

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Solution

The fourth proportional to 2,183.50, 3,275.82 and 644.50 is: 966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.50 : 3,275.82 = 644.50 : x
  2. Step 2: Convert to fraction form
    2,183.50/3,275.82 = 644.50/x
  3. Step 3: Cross multiply
    2,183.50x = 3,275.82 × 644.50
  4. Step 4: Simplify right side
    2,183.50x = 2,111,265.99
  5. Step 5: Solve for x
    x = 2,111,265.99/2,183.50
  6. Step 6: Final answer
    x = 966.92

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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.