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Finding the Fourth Proportional to 3,446.80, 4,757.34 and 2,267.98

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Solution

The fourth proportional to 3,446.80, 4,757.34 and 2,267.98 is: 3,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.80 : 4,757.34 = 2,267.98 : x
  2. Step 2: Convert to fraction form
    3,446.80/4,757.34 = 2,267.98/x
  3. Step 3: Cross multiply
    3,446.80x = 4,757.34 × 2,267.98
  4. Step 4: Simplify right side
    3,446.80x = 10,789,551.97
  5. Step 5: Solve for x
    x = 10,789,551.97/3,446.80
  6. Step 6: Final answer
    x = 3,130.31

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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.