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Finding the Fourth Proportional to 2,220.49, 3,329.70 and 659.92

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Solution

The fourth proportional to 2,220.49, 3,329.70 and 659.92 is: 989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.49 : 3,329.70 = 659.92 : x
  2. Step 2: Convert to fraction form
    2,220.49/3,329.70 = 659.92/x
  3. Step 3: Cross multiply
    2,220.49x = 3,329.70 × 659.92
  4. Step 4: Simplify right side
    2,220.49x = 2,197,335.62
  5. Step 5: Solve for x
    x = 2,197,335.62/2,220.49
  6. Step 6: Final answer
    x = 989.57

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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.