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Finding the Fourth Proportional to 3,069.70, 4,234.41 and 2,229.43

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Solution

The fourth proportional to 3,069.70, 4,234.41 and 2,229.43 is: 3,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.70 : 4,234.41 = 2,229.43 : x
  2. Step 2: Convert to fraction form
    3,069.70/4,234.41 = 2,229.43/x
  3. Step 3: Cross multiply
    3,069.70x = 4,234.41 × 2,229.43
  4. Step 4: Simplify right side
    3,069.70x = 9,440,320.69
  5. Step 5: Solve for x
    x = 9,440,320.69/3,069.70
  6. Step 6: Final answer
    x = 3,075.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.