Home / 2,001.06-3,002.19-702.22

Finding the Fourth Proportional to 2,001.06, 3,002.19 and 702.22

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Solution

The fourth proportional to 2,001.06, 3,002.19 and 702.22 is: 1,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.06 : 3,002.19 = 702.22 : x
  2. Step 2: Convert to fraction form
    2,001.06/3,002.19 = 702.22/x
  3. Step 3: Cross multiply
    2,001.06x = 3,002.19 × 702.22
  4. Step 4: Simplify right side
    2,001.06x = 2,108,197.86
  5. Step 5: Solve for x
    x = 2,108,197.86/2,001.06
  6. Step 6: Final answer
    x = 1,053.54

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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.