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Finding the Fourth Proportional to 2,743.67, 4,115.14 and 1,100.24

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Solution

The fourth proportional to 2,743.67, 4,115.14 and 1,100.24 is: 1,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.67 : 4,115.14 = 1,100.24 : x
  2. Step 2: Convert to fraction form
    2,743.67/4,115.14 = 1,100.24/x
  3. Step 3: Cross multiply
    2,743.67x = 4,115.14 × 1,100.24
  4. Step 4: Simplify right side
    2,743.67x = 4,527,641.63
  5. Step 5: Solve for x
    x = 4,527,641.63/2,743.67
  6. Step 6: Final answer
    x = 1,650.21

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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.