Home / 2,161.39-2,982.19-1,217

Finding the Fourth Proportional to 2,161.39, 2,982.19 and 1,217

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Solution

The fourth proportional to 2,161.39, 2,982.19 and 1,217 is: 1,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.39 : 2,982.19 = 1,217 : x
  2. Step 2: Convert to fraction form
    2,161.39/2,982.19 = 1,217/x
  3. Step 3: Cross multiply
    2,161.39x = 2,982.19 × 1,217
  4. Step 4: Simplify right side
    2,161.39x = 3,629,325.23
  5. Step 5: Solve for x
    x = 3,629,325.23/2,161.39
  6. Step 6: Final answer
    x = 1,679.16

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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.