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Finding the Fourth Proportional to 2,782.72, 4,176.10 and 2,241.44

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Solution

The fourth proportional to 2,782.72, 4,176.10 and 2,241.44 is: 3,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.72 : 4,176.10 = 2,241.44 : x
  2. Step 2: Convert to fraction form
    2,782.72/4,176.10 = 2,241.44/x
  3. Step 3: Cross multiply
    2,782.72x = 4,176.10 × 2,241.44
  4. Step 4: Simplify right side
    2,782.72x = 9,360,456.70
  5. Step 5: Solve for x
    x = 9,360,456.70/2,782.72
  6. Step 6: Final answer
    x = 3,363.79

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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.