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Finding the Fourth Proportional to 3,419.40, 4,719.40 and 2,161.06

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Solution

The fourth proportional to 3,419.40, 4,719.40 and 2,161.06 is: 2,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.40 : 4,719.40 = 2,161.06 : x
  2. Step 2: Convert to fraction form
    3,419.40/4,719.40 = 2,161.06/x
  3. Step 3: Cross multiply
    3,419.40x = 4,719.40 × 2,161.06
  4. Step 4: Simplify right side
    3,419.40x = 10,198,906.56
  5. Step 5: Solve for x
    x = 10,198,906.56/3,419.40
  6. Step 6: Final answer
    x = 2,982.66

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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.