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Finding the Fourth Proportional to 2,020.85, 3,031.86 and 722.42

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Solution

The fourth proportional to 2,020.85, 3,031.86 and 722.42 is: 1,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.85 : 3,031.86 = 722.42 : x
  2. Step 2: Convert to fraction form
    2,020.85/3,031.86 = 722.42/x
  3. Step 3: Cross multiply
    2,020.85x = 3,031.86 × 722.42
  4. Step 4: Simplify right side
    2,020.85x = 2,190,276.30
  5. Step 5: Solve for x
    x = 2,190,276.30/2,020.85
  6. Step 6: Final answer
    x = 1,083.84

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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.