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Finding the Fourth Proportional to 4,163.42, 6,245.15 and 1,241.66

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Solution

The fourth proportional to 4,163.42, 6,245.15 and 1,241.66 is: 1,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.42 : 6,245.15 = 1,241.66 : x
  2. Step 2: Convert to fraction form
    4,163.42/6,245.15 = 1,241.66/x
  3. Step 3: Cross multiply
    4,163.42x = 6,245.15 × 1,241.66
  4. Step 4: Simplify right side
    4,163.42x = 7,754,362.35
  5. Step 5: Solve for x
    x = 7,754,362.35/4,163.42
  6. Step 6: Final answer
    x = 1,862.50

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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.