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Finding the Fourth Proportional to 2,768.92, 4,150.50 and 2,377.96

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Solution

The fourth proportional to 2,768.92, 4,150.50 and 2,377.96 is: 3,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.92 : 4,150.50 = 2,377.96 : x
  2. Step 2: Convert to fraction form
    2,768.92/4,150.50 = 2,377.96/x
  3. Step 3: Cross multiply
    2,768.92x = 4,150.50 × 2,377.96
  4. Step 4: Simplify right side
    2,768.92x = 9,869,722.98
  5. Step 5: Solve for x
    x = 9,869,722.98/2,768.92
  6. Step 6: Final answer
    x = 3,564.47

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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.