Home / 2,120.67-3,180.36-821.82

Finding the Fourth Proportional to 2,120.67, 3,180.36 and 821.82

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Solution

The fourth proportional to 2,120.67, 3,180.36 and 821.82 is: 1,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.67 : 3,180.36 = 821.82 : x
  2. Step 2: Convert to fraction form
    2,120.67/3,180.36 = 821.82/x
  3. Step 3: Cross multiply
    2,120.67x = 3,180.36 × 821.82
  4. Step 4: Simplify right side
    2,120.67x = 2,613,683.46
  5. Step 5: Solve for x
    x = 2,613,683.46/2,120.67
  6. Step 6: Final answer
    x = 1,232.48

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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.