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Finding the Fourth Proportional to 2,593.75, 3,898.11 and 2,157.70

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Solution

The fourth proportional to 2,593.75, 3,898.11 and 2,157.70 is: 3,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.75 : 3,898.11 = 2,157.70 : x
  2. Step 2: Convert to fraction form
    2,593.75/3,898.11 = 2,157.70/x
  3. Step 3: Cross multiply
    2,593.75x = 3,898.11 × 2,157.70
  4. Step 4: Simplify right side
    2,593.75x = 8,410,951.95
  5. Step 5: Solve for x
    x = 8,410,951.95/2,593.75
  6. Step 6: Final answer
    x = 3,242.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.