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Finding the Fourth Proportional to 2,772.90, 3,825.63 and 2,241.54

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Solution

The fourth proportional to 2,772.90, 3,825.63 and 2,241.54 is: 3,092.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.90 : 3,825.63 = 2,241.54 : x
  2. Step 2: Convert to fraction form
    2,772.90/3,825.63 = 2,241.54/x
  3. Step 3: Cross multiply
    2,772.90x = 3,825.63 × 2,241.54
  4. Step 4: Simplify right side
    2,772.90x = 8,575,302.67
  5. Step 5: Solve for x
    x = 8,575,302.67/2,772.90
  6. Step 6: Final answer
    x = 3,092.54

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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.