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Finding the Fourth Proportional to 2,188.50, 3,299.24 and 2,047.56

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Solution

The fourth proportional to 2,188.50, 3,299.24 and 2,047.56 is: 3,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.50 : 3,299.24 = 2,047.56 : x
  2. Step 2: Convert to fraction form
    2,188.50/3,299.24 = 2,047.56/x
  3. Step 3: Cross multiply
    2,188.50x = 3,299.24 × 2,047.56
  4. Step 4: Simplify right side
    2,188.50x = 6,755,391.85
  5. Step 5: Solve for x
    x = 6,755,391.85/2,188.50
  6. Step 6: Final answer
    x = 3,086.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.