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Finding the Fourth Proportional to 2,221.50, 3,332.70 and 834.83

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Solution

The fourth proportional to 2,221.50, 3,332.70 and 834.83 is: 1,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.50 : 3,332.70 = 834.83 : x
  2. Step 2: Convert to fraction form
    2,221.50/3,332.70 = 834.83/x
  3. Step 3: Cross multiply
    2,221.50x = 3,332.70 × 834.83
  4. Step 4: Simplify right side
    2,221.50x = 2,782,237.94
  5. Step 5: Solve for x
    x = 2,782,237.94/2,221.50
  6. Step 6: Final answer
    x = 1,252.42

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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.