Home / 2,083.22-3,122.05-1,027.41

Finding the Fourth Proportional to 2,083.22, 3,122.05 and 1,027.41

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Solution

The fourth proportional to 2,083.22, 3,122.05 and 1,027.41 is: 1,539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.22 : 3,122.05 = 1,027.41 : x
  2. Step 2: Convert to fraction form
    2,083.22/3,122.05 = 1,027.41/x
  3. Step 3: Cross multiply
    2,083.22x = 3,122.05 × 1,027.41
  4. Step 4: Simplify right side
    2,083.22x = 3,207,634.53
  5. Step 5: Solve for x
    x = 3,207,634.53/2,083.22
  6. Step 6: Final answer
    x = 1,539.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.