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Finding the Fourth Proportional to 3,105.07, 4,285.10 and 1,778.49

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Solution

The fourth proportional to 3,105.07, 4,285.10 and 1,778.49 is: 2,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.07 : 4,285.10 = 1,778.49 : x
  2. Step 2: Convert to fraction form
    3,105.07/4,285.10 = 1,778.49/x
  3. Step 3: Cross multiply
    3,105.07x = 4,285.10 × 1,778.49
  4. Step 4: Simplify right side
    3,105.07x = 7,621,011.95
  5. Step 5: Solve for x
    x = 7,621,011.95/3,105.07
  6. Step 6: Final answer
    x = 2,454.38

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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.