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Finding the Fourth Proportional to 3,105.50, 4,285.59 and 1,708.25

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Solution

The fourth proportional to 3,105.50, 4,285.59 and 1,708.25 is: 2,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.50 : 4,285.59 = 1,708.25 : x
  2. Step 2: Convert to fraction form
    3,105.50/4,285.59 = 1,708.25/x
  3. Step 3: Cross multiply
    3,105.50x = 4,285.59 × 1,708.25
  4. Step 4: Simplify right side
    3,105.50x = 7,320,859.12
  5. Step 5: Solve for x
    x = 7,320,859.12/3,105.50
  6. Step 6: Final answer
    x = 2,357.39

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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.