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Finding the Fourth Proportional to 2,771.72, 3,824.82 and 1,592.80

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Solution

The fourth proportional to 2,771.72, 3,824.82 and 1,592.80 is: 2,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.72 : 3,824.82 = 1,592.80 : x
  2. Step 2: Convert to fraction form
    2,771.72/3,824.82 = 1,592.80/x
  3. Step 3: Cross multiply
    2,771.72x = 3,824.82 × 1,592.80
  4. Step 4: Simplify right side
    2,771.72x = 6,092,173.30
  5. Step 5: Solve for x
    x = 6,092,173.30/2,771.72
  6. Step 6: Final answer
    x = 2,197.98

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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.