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Finding the Fourth Proportional to 1,961.37, 2,942.09 and 500.54

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Solution

The fourth proportional to 1,961.37, 2,942.09 and 500.54 is: 750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.37 : 2,942.09 = 500.54 : x
  2. Step 2: Convert to fraction form
    1,961.37/2,942.09 = 500.54/x
  3. Step 3: Cross multiply
    1,961.37x = 2,942.09 × 500.54
  4. Step 4: Simplify right side
    1,961.37x = 1,472,616.52
  5. Step 5: Solve for x
    x = 1,472,616.52/1,961.37
  6. Step 6: Final answer
    x = 750.81

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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.