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Finding the Fourth Proportional to 2,700.82, 3,702.82 and 2,651.62

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Solution

The fourth proportional to 2,700.82, 3,702.82 and 2,651.62 is: 3,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.82 : 3,702.82 = 2,651.62 : x
  2. Step 2: Convert to fraction form
    2,700.82/3,702.82 = 2,651.62/x
  3. Step 3: Cross multiply
    2,700.82x = 3,702.82 × 2,651.62
  4. Step 4: Simplify right side
    2,700.82x = 9,818,471.57
  5. Step 5: Solve for x
    x = 9,818,471.57/2,700.82
  6. Step 6: Final answer
    x = 3,635.37

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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.