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Finding the Fourth Proportional to 2,149.81, 3,226.20 and 851.38

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Solution

The fourth proportional to 2,149.81, 3,226.20 and 851.38 is: 1,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.81 : 3,226.20 = 851.38 : x
  2. Step 2: Convert to fraction form
    2,149.81/3,226.20 = 851.38/x
  3. Step 3: Cross multiply
    2,149.81x = 3,226.20 × 851.38
  4. Step 4: Simplify right side
    2,149.81x = 2,746,722.16
  5. Step 5: Solve for x
    x = 2,746,722.16/2,149.81
  6. Step 6: Final answer
    x = 1,277.66

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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.