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Finding the Fourth Proportional to 3,149.99, 4,725.14 and 2,229.66

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Solution

The fourth proportional to 3,149.99, 4,725.14 and 2,229.66 is: 3,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.99 : 4,725.14 = 2,229.66 : x
  2. Step 2: Convert to fraction form
    3,149.99/4,725.14 = 2,229.66/x
  3. Step 3: Cross multiply
    3,149.99x = 4,725.14 × 2,229.66
  4. Step 4: Simplify right side
    3,149.99x = 10,535,444.50
  5. Step 5: Solve for x
    x = 10,535,444.50/3,149.99
  6. Step 6: Final answer
    x = 3,344.60

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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.