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Finding the Fourth Proportional to 1,828.44, 2,743.12 and 734.03

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Solution

The fourth proportional to 1,828.44, 2,743.12 and 734.03 is: 1,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.44 : 2,743.12 = 734.03 : x
  2. Step 2: Convert to fraction form
    1,828.44/2,743.12 = 734.03/x
  3. Step 3: Cross multiply
    1,828.44x = 2,743.12 × 734.03
  4. Step 4: Simplify right side
    1,828.44x = 2,013,525.73
  5. Step 5: Solve for x
    x = 2,013,525.73/1,828.44
  6. Step 6: Final answer
    x = 1,101.23

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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.