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Finding the Fourth Proportional to 2,697.82, 3,722.97 and 1,519

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Solution

The fourth proportional to 2,697.82, 3,722.97 and 1,519 is: 2,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.82 : 3,722.97 = 1,519 : x
  2. Step 2: Convert to fraction form
    2,697.82/3,722.97 = 1,519/x
  3. Step 3: Cross multiply
    2,697.82x = 3,722.97 × 1,519
  4. Step 4: Simplify right side
    2,697.82x = 5,655,191.43
  5. Step 5: Solve for x
    x = 5,655,191.43/2,697.82
  6. Step 6: Final answer
    x = 2,096.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.