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Finding the Fourth Proportional to 3,199.01, 4,793.65 and 2,155.19

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Solution

The fourth proportional to 3,199.01, 4,793.65 and 2,155.19 is: 3,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.01 : 4,793.65 = 2,155.19 : x
  2. Step 2: Convert to fraction form
    3,199.01/4,793.65 = 2,155.19/x
  3. Step 3: Cross multiply
    3,199.01x = 4,793.65 × 2,155.19
  4. Step 4: Simplify right side
    3,199.01x = 10,331,197.19
  5. Step 5: Solve for x
    x = 10,331,197.19/3,199.01
  6. Step 6: Final answer
    x = 3,229.50

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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.