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Finding the Fourth Proportional to 2,732.72, 3,770.08 and 1,682.96

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Solution

The fourth proportional to 2,732.72, 3,770.08 and 1,682.96 is: 2,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.72 : 3,770.08 = 1,682.96 : x
  2. Step 2: Convert to fraction form
    2,732.72/3,770.08 = 1,682.96/x
  3. Step 3: Cross multiply
    2,732.72x = 3,770.08 × 1,682.96
  4. Step 4: Simplify right side
    2,732.72x = 6,344,870.78
  5. Step 5: Solve for x
    x = 6,344,870.78/2,732.72
  6. Step 6: Final answer
    x = 2,321.82

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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.