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Finding the Fourth Proportional to 2,220.79, 3,329.43 and 833.97

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Solution

The fourth proportional to 2,220.79, 3,329.43 and 833.97 is: 1,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.79 : 3,329.43 = 833.97 : x
  2. Step 2: Convert to fraction form
    2,220.79/3,329.43 = 833.97/x
  3. Step 3: Cross multiply
    2,220.79x = 3,329.43 × 833.97
  4. Step 4: Simplify right side
    2,220.79x = 2,776,640.57
  5. Step 5: Solve for x
    x = 2,776,640.57/2,220.79
  6. Step 6: Final answer
    x = 1,250.29

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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.