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Finding the Fourth Proportional to 4,161.49, 6,242.23 and 1,695.73

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Solution

The fourth proportional to 4,161.49, 6,242.23 and 1,695.73 is: 2,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.49 : 6,242.23 = 1,695.73 : x
  2. Step 2: Convert to fraction form
    4,161.49/6,242.23 = 1,695.73/x
  3. Step 3: Cross multiply
    4,161.49x = 6,242.23 × 1,695.73
  4. Step 4: Simplify right side
    4,161.49x = 10,585,136.68
  5. Step 5: Solve for x
    x = 10,585,136.68/4,161.49
  6. Step 6: Final answer
    x = 2,543.59

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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.