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Finding the Fourth Proportional to 2,723.82, 3,732.69 and 2,461.38

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Solution

The fourth proportional to 2,723.82, 3,732.69 and 2,461.38 is: 3,373.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.82 : 3,732.69 = 2,461.38 : x
  2. Step 2: Convert to fraction form
    2,723.82/3,732.69 = 2,461.38/x
  3. Step 3: Cross multiply
    2,723.82x = 3,732.69 × 2,461.38
  4. Step 4: Simplify right side
    2,723.82x = 9,187,542.98
  5. Step 5: Solve for x
    x = 9,187,542.98/2,723.82
  6. Step 6: Final answer
    x = 3,373.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.