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Finding the Fourth Proportional to 3,105.78, 4,285.85 and 1,778.56

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Solution

The fourth proportional to 3,105.78, 4,285.85 and 1,778.56 is: 2,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.78 : 4,285.85 = 1,778.56 : x
  2. Step 2: Convert to fraction form
    3,105.78/4,285.85 = 1,778.56/x
  3. Step 3: Cross multiply
    3,105.78x = 4,285.85 × 1,778.56
  4. Step 4: Simplify right side
    3,105.78x = 7,622,621.77
  5. Step 5: Solve for x
    x = 7,622,621.77/3,105.78
  6. Step 6: Final answer
    x = 2,454.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.