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Finding the Fourth Proportional to 3,419.82, 4,720.95 and 2,161.62

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Solution

The fourth proportional to 3,419.82, 4,720.95 and 2,161.62 is: 2,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.82 : 4,720.95 = 2,161.62 : x
  2. Step 2: Convert to fraction form
    3,419.82/4,720.95 = 2,161.62/x
  3. Step 3: Cross multiply
    3,419.82x = 4,720.95 × 2,161.62
  4. Step 4: Simplify right side
    3,419.82x = 10,204,899.94
  5. Step 5: Solve for x
    x = 10,204,899.94/3,419.82
  6. Step 6: Final answer
    x = 2,984.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.