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Finding the Fourth Proportional to 2,682, 3,697.10 and 2,306.98

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Solution

The fourth proportional to 2,682, 3,697.10 and 2,306.98 is: 3,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682 : 3,697.10 = 2,306.98 : x
  2. Step 2: Convert to fraction form
    2,682/3,697.10 = 2,306.98/x
  3. Step 3: Cross multiply
    2,682x = 3,697.10 × 2,306.98
  4. Step 4: Simplify right side
    2,682x = 8,529,135.76
  5. Step 5: Solve for x
    x = 8,529,135.76/2,682
  6. Step 6: Final answer
    x = 3,180.14

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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.