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Finding the Fourth Proportional to 3,105.69, 4,657.17 and 1,644.50

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Solution

The fourth proportional to 3,105.69, 4,657.17 and 1,644.50 is: 2,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.69 : 4,657.17 = 1,644.50 : x
  2. Step 2: Convert to fraction form
    3,105.69/4,657.17 = 1,644.50/x
  3. Step 3: Cross multiply
    3,105.69x = 4,657.17 × 1,644.50
  4. Step 4: Simplify right side
    3,105.69x = 7,658,716.07
  5. Step 5: Solve for x
    x = 7,658,716.07/3,105.69
  6. Step 6: Final answer
    x = 2,466.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.