Home / 2,001.23-3,003.20-702.71

Finding the Fourth Proportional to 2,001.23, 3,003.20 and 702.71

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Solution

The fourth proportional to 2,001.23, 3,003.20 and 702.71 is: 1,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.23 : 3,003.20 = 702.71 : x
  2. Step 2: Convert to fraction form
    2,001.23/3,003.20 = 702.71/x
  3. Step 3: Cross multiply
    2,001.23x = 3,003.20 × 702.71
  4. Step 4: Simplify right side
    2,001.23x = 2,110,378.67
  5. Step 5: Solve for x
    x = 2,110,378.67/2,001.23
  6. Step 6: Final answer
    x = 1,054.54

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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.