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Finding the Fourth Proportional to 2,731.73, 3,769.13 and 1,553.45

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Solution

The fourth proportional to 2,731.73, 3,769.13 and 1,553.45 is: 2,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.73 : 3,769.13 = 1,553.45 : x
  2. Step 2: Convert to fraction form
    2,731.73/3,769.13 = 1,553.45/x
  3. Step 3: Cross multiply
    2,731.73x = 3,769.13 × 1,553.45
  4. Step 4: Simplify right side
    2,731.73x = 5,855,140.04
  5. Step 5: Solve for x
    x = 5,855,140.04/2,731.73
  6. Step 6: Final answer
    x = 2,143.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.