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Finding the Fourth Proportional to 2,781.70, 4,174.19 and 1,027.94

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Solution

The fourth proportional to 2,781.70, 4,174.19 and 1,027.94 is: 1,542.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.70 : 4,174.19 = 1,027.94 : x
  2. Step 2: Convert to fraction form
    2,781.70/4,174.19 = 1,027.94/x
  3. Step 3: Cross multiply
    2,781.70x = 4,174.19 × 1,027.94
  4. Step 4: Simplify right side
    2,781.70x = 4,290,816.87
  5. Step 5: Solve for x
    x = 4,290,816.87/2,781.70
  6. Step 6: Final answer
    x = 1,542.52

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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.