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Finding the Fourth Proportional to 2,449.24, 3,674.82 and 911.32

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Solution

The fourth proportional to 2,449.24, 3,674.82 and 911.32 is: 1,367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.24 : 3,674.82 = 911.32 : x
  2. Step 2: Convert to fraction form
    2,449.24/3,674.82 = 911.32/x
  3. Step 3: Cross multiply
    2,449.24x = 3,674.82 × 911.32
  4. Step 4: Simplify right side
    2,449.24x = 3,348,936.96
  5. Step 5: Solve for x
    x = 3,348,936.96/2,449.24
  6. Step 6: Final answer
    x = 1,367.34

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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.