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Finding the Fourth Proportional to 2,771.09, 3,824.15 and 1,652.67

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Solution

The fourth proportional to 2,771.09, 3,824.15 and 1,652.67 is: 2,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.09 : 3,824.15 = 1,652.67 : x
  2. Step 2: Convert to fraction form
    2,771.09/3,824.15 = 1,652.67/x
  3. Step 3: Cross multiply
    2,771.09x = 3,824.15 × 1,652.67
  4. Step 4: Simplify right side
    2,771.09x = 6,320,049.72
  5. Step 5: Solve for x
    x = 6,320,049.72/2,771.09
  6. Step 6: Final answer
    x = 2,280.71

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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.