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Finding the Fourth Proportional to 6,980.40, 10,469.70 and 2,049.87

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Solution

The fourth proportional to 6,980.40, 10,469.70 and 2,049.87 is: 3,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.40 : 10,469.70 = 2,049.87 : x
  2. Step 2: Convert to fraction form
    6,980.40/10,469.70 = 2,049.87/x
  3. Step 3: Cross multiply
    6,980.40x = 10,469.70 × 2,049.87
  4. Step 4: Simplify right side
    6,980.40x = 21,461,523.94
  5. Step 5: Solve for x
    x = 21,461,523.94/6,980.40
  6. Step 6: Final answer
    x = 3,074.54

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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.