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Finding the Fourth Proportional to 2,771.52, 3,824.70 and 1,652.44

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Solution

The fourth proportional to 2,771.52, 3,824.70 and 1,652.44 is: 2,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.52 : 3,824.70 = 1,652.44 : x
  2. Step 2: Convert to fraction form
    2,771.52/3,824.70 = 1,652.44/x
  3. Step 3: Cross multiply
    2,771.52x = 3,824.70 × 1,652.44
  4. Step 4: Simplify right side
    2,771.52x = 6,320,087.27
  5. Step 5: Solve for x
    x = 6,320,087.27/2,771.52
  6. Step 6: Final answer
    x = 2,280.37

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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.