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Finding the Fourth Proportional to 1,828.44, 2,743.07 and 732.78

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Solution

The fourth proportional to 1,828.44, 2,743.07 and 732.78 is: 1,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.44 : 2,743.07 = 732.78 : x
  2. Step 2: Convert to fraction form
    1,828.44/2,743.07 = 732.78/x
  3. Step 3: Cross multiply
    1,828.44x = 2,743.07 × 732.78
  4. Step 4: Simplify right side
    1,828.44x = 2,010,063.17
  5. Step 5: Solve for x
    x = 2,010,063.17/1,828.44
  6. Step 6: Final answer
    x = 1,099.33

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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.