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Finding the Fourth Proportional to 2,311.92, 3,454.74 and 2,188.80

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Solution

The fourth proportional to 2,311.92, 3,454.74 and 2,188.80 is: 3,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.92 : 3,454.74 = 2,188.80 : x
  2. Step 2: Convert to fraction form
    2,311.92/3,454.74 = 2,188.80/x
  3. Step 3: Cross multiply
    2,311.92x = 3,454.74 × 2,188.80
  4. Step 4: Simplify right side
    2,311.92x = 7,561,734.91
  5. Step 5: Solve for x
    x = 7,561,734.91/2,311.92
  6. Step 6: Final answer
    x = 3,270.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.