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Finding the Fourth Proportional to 2,511, 3,770.82 and 2,282.04

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Solution

The fourth proportional to 2,511, 3,770.82 and 2,282.04 is: 3,426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511 : 3,770.82 = 2,282.04 : x
  2. Step 2: Convert to fraction form
    2,511/3,770.82 = 2,282.04/x
  3. Step 3: Cross multiply
    2,511x = 3,770.82 × 2,282.04
  4. Step 4: Simplify right side
    2,511x = 8,605,162.07
  5. Step 5: Solve for x
    x = 8,605,162.07/2,511
  6. Step 6: Final answer
    x = 3,426.99

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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.