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Finding the Fourth Proportional to 3,194.50, 4,772.10 and 2,309.44

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Solution

The fourth proportional to 3,194.50, 4,772.10 and 2,309.44 is: 3,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.50 : 4,772.10 = 2,309.44 : x
  2. Step 2: Convert to fraction form
    3,194.50/4,772.10 = 2,309.44/x
  3. Step 3: Cross multiply
    3,194.50x = 4,772.10 × 2,309.44
  4. Step 4: Simplify right side
    3,194.50x = 11,020,878.62
  5. Step 5: Solve for x
    x = 11,020,878.62/3,194.50
  6. Step 6: Final answer
    x = 3,449.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.