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Finding the Fourth Proportional to 2,647.46, 3,972.11 and 798.53

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Solution

The fourth proportional to 2,647.46, 3,972.11 and 798.53 is: 1,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.46 : 3,972.11 = 798.53 : x
  2. Step 2: Convert to fraction form
    2,647.46/3,972.11 = 798.53/x
  3. Step 3: Cross multiply
    2,647.46x = 3,972.11 × 798.53
  4. Step 4: Simplify right side
    2,647.46x = 3,171,825.15
  5. Step 5: Solve for x
    x = 3,171,825.15/2,647.46
  6. Step 6: Final answer
    x = 1,198.06

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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.