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Finding the Fourth Proportional to 2,020.89, 3,031.73 and 722.33

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Solution

The fourth proportional to 2,020.89, 3,031.73 and 722.33 is: 1,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.89 : 3,031.73 = 722.33 : x
  2. Step 2: Convert to fraction form
    2,020.89/3,031.73 = 722.33/x
  3. Step 3: Cross multiply
    2,020.89x = 3,031.73 × 722.33
  4. Step 4: Simplify right side
    2,020.89x = 2,189,890.76
  5. Step 5: Solve for x
    x = 2,189,890.76/2,020.89
  6. Step 6: Final answer
    x = 1,083.63

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