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Finding the Fourth Proportional to 2,227.04, 3,072.10 and 1,553.79

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Solution

The fourth proportional to 2,227.04, 3,072.10 and 1,553.79 is: 2,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.04 : 3,072.10 = 1,553.79 : x
  2. Step 2: Convert to fraction form
    2,227.04/3,072.10 = 1,553.79/x
  3. Step 3: Cross multiply
    2,227.04x = 3,072.10 × 1,553.79
  4. Step 4: Simplify right side
    2,227.04x = 4,773,390.49
  5. Step 5: Solve for x
    x = 4,773,390.49/2,227.04
  6. Step 6: Final answer
    x = 2,143.38

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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.