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Finding the Fourth Proportional to 6,980.53, 10,469.18 and 2,048.85

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Solution

The fourth proportional to 6,980.53, 10,469.18 and 2,048.85 is: 3,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.53 : 10,469.18 = 2,048.85 : x
  2. Step 2: Convert to fraction form
    6,980.53/10,469.18 = 2,048.85/x
  3. Step 3: Cross multiply
    6,980.53x = 10,469.18 × 2,048.85
  4. Step 4: Simplify right side
    6,980.53x = 21,449,716.85
  5. Step 5: Solve for x
    x = 21,449,716.85/6,980.53
  6. Step 6: Final answer
    x = 3,072.79

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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.