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Finding the Fourth Proportional to 2,511.81, 3,764.07 and 2,251.80

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Solution

The fourth proportional to 2,511.81, 3,764.07 and 2,251.80 is: 3,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.81 : 3,764.07 = 2,251.80 : x
  2. Step 2: Convert to fraction form
    2,511.81/3,764.07 = 2,251.80/x
  3. Step 3: Cross multiply
    2,511.81x = 3,764.07 × 2,251.80
  4. Step 4: Simplify right side
    2,511.81x = 8,475,932.83
  5. Step 5: Solve for x
    x = 8,475,932.83/2,511.81
  6. Step 6: Final answer
    x = 3,374.43

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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.