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Finding the Fourth Proportional to 2,737.37, 4,105.65 and 789.32

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Solution

The fourth proportional to 2,737.37, 4,105.65 and 789.32 is: 1,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.37 : 4,105.65 = 789.32 : x
  2. Step 2: Convert to fraction form
    2,737.37/4,105.65 = 789.32/x
  3. Step 3: Cross multiply
    2,737.37x = 4,105.65 × 789.32
  4. Step 4: Simplify right side
    2,737.37x = 3,240,671.66
  5. Step 5: Solve for x
    x = 3,240,671.66/2,737.37
  6. Step 6: Final answer
    x = 1,183.86

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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.