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Finding the Fourth Proportional to 2,733.64, 4,097.23 and 1,269.73

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Solution

The fourth proportional to 2,733.64, 4,097.23 and 1,269.73 is: 1,903.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.64 : 4,097.23 = 1,269.73 : x
  2. Step 2: Convert to fraction form
    2,733.64/4,097.23 = 1,269.73/x
  3. Step 3: Cross multiply
    2,733.64x = 4,097.23 × 1,269.73
  4. Step 4: Simplify right side
    2,733.64x = 5,202,375.85
  5. Step 5: Solve for x
    x = 5,202,375.85/2,733.64
  6. Step 6: Final answer
    x = 1,903.09

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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.