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Finding the Fourth Proportional to 3,214.20, 4,435.26 and 2,019

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Solution

The fourth proportional to 3,214.20, 4,435.26 and 2,019 is: 2,786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.20 : 4,435.26 = 2,019 : x
  2. Step 2: Convert to fraction form
    3,214.20/4,435.26 = 2,019/x
  3. Step 3: Cross multiply
    3,214.20x = 4,435.26 × 2,019
  4. Step 4: Simplify right side
    3,214.20x = 8,954,789.94
  5. Step 5: Solve for x
    x = 8,954,789.94/3,214.20
  6. Step 6: Final answer
    x = 2,786.01

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Why These Related Problems?

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