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Finding the Fourth Proportional to 3,310.70, 4,969.69 and 2,797.07

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Solution

The fourth proportional to 3,310.70, 4,969.69 and 2,797.07 is: 4,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.70 : 4,969.69 = 2,797.07 : x
  2. Step 2: Convert to fraction form
    3,310.70/4,969.69 = 2,797.07/x
  3. Step 3: Cross multiply
    3,310.70x = 4,969.69 × 2,797.07
  4. Step 4: Simplify right side
    3,310.70x = 13,900,538.97
  5. Step 5: Solve for x
    x = 13,900,538.97/3,310.70
  6. Step 6: Final answer
    x = 4,198.68

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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.