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Finding the Fourth Proportional to 2,020.83, 3,031.42 and 722.31

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Solution

The fourth proportional to 2,020.83, 3,031.42 and 722.31 is: 1,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.83 : 3,031.42 = 722.31 : x
  2. Step 2: Convert to fraction form
    2,020.83/3,031.42 = 722.31/x
  3. Step 3: Cross multiply
    2,020.83x = 3,031.42 × 722.31
  4. Step 4: Simplify right side
    2,020.83x = 2,189,624.98
  5. Step 5: Solve for x
    x = 2,189,624.98/2,020.83
  6. Step 6: Final answer
    x = 1,083.53

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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.