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Finding the Fourth Proportional to 3,179.50, 4,763.69 and 2,206.22

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Solution

The fourth proportional to 3,179.50, 4,763.69 and 2,206.22 is: 3,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.50 : 4,763.69 = 2,206.22 : x
  2. Step 2: Convert to fraction form
    3,179.50/4,763.69 = 2,206.22/x
  3. Step 3: Cross multiply
    3,179.50x = 4,763.69 × 2,206.22
  4. Step 4: Simplify right side
    3,179.50x = 10,509,748.15
  5. Step 5: Solve for x
    x = 10,509,748.15/3,179.50
  6. Step 6: Final answer
    x = 3,305.47

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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.