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Finding the Fourth Proportional to 4,982.02, 7,472.76 and 1,519

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Solution

The fourth proportional to 4,982.02, 7,472.76 and 1,519 is: 2,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.02 : 7,472.76 = 1,519 : x
  2. Step 2: Convert to fraction form
    4,982.02/7,472.76 = 1,519/x
  3. Step 3: Cross multiply
    4,982.02x = 7,472.76 × 1,519
  4. Step 4: Simplify right side
    4,982.02x = 11,351,122.44
  5. Step 5: Solve for x
    x = 11,351,122.44/4,982.02
  6. Step 6: Final answer
    x = 2,278.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.