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Finding the Fourth Proportional to 3,164.32, 4,747.24 and 2,241.66

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Solution

The fourth proportional to 3,164.32, 4,747.24 and 2,241.66 is: 3,363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.32 : 4,747.24 = 2,241.66 : x
  2. Step 2: Convert to fraction form
    3,164.32/4,747.24 = 2,241.66/x
  3. Step 3: Cross multiply
    3,164.32x = 4,747.24 × 2,241.66
  4. Step 4: Simplify right side
    3,164.32x = 10,641,698.02
  5. Step 5: Solve for x
    x = 10,641,698.02/3,164.32
  6. Step 6: Final answer
    x = 3,363.03

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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.