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Finding the Fourth Proportional to 4,161.68, 6,241.60 and 1,969.21

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Solution

The fourth proportional to 4,161.68, 6,241.60 and 1,969.21 is: 2,953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.68 : 6,241.60 = 1,969.21 : x
  2. Step 2: Convert to fraction form
    4,161.68/6,241.60 = 1,969.21/x
  3. Step 3: Cross multiply
    4,161.68x = 6,241.60 × 1,969.21
  4. Step 4: Simplify right side
    4,161.68x = 12,291,000.61
  5. Step 5: Solve for x
    x = 12,291,000.61/4,161.68
  6. Step 6: Final answer
    x = 2,953.38

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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.