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Finding the Fourth Proportional to 2,200.57, 3,299.82 and 813.85

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Solution

The fourth proportional to 2,200.57, 3,299.82 and 813.85 is: 1,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.57 : 3,299.82 = 813.85 : x
  2. Step 2: Convert to fraction form
    2,200.57/3,299.82 = 813.85/x
  3. Step 3: Cross multiply
    2,200.57x = 3,299.82 × 813.85
  4. Step 4: Simplify right side
    2,200.57x = 2,685,558.51
  5. Step 5: Solve for x
    x = 2,685,558.51/2,200.57
  6. Step 6: Final answer
    x = 1,220.39

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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.