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Finding the Fourth Proportional to 2,020.72, 3,031.12 and 866.48

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Solution

The fourth proportional to 2,020.72, 3,031.12 and 866.48 is: 1,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.72 : 3,031.12 = 866.48 : x
  2. Step 2: Convert to fraction form
    2,020.72/3,031.12 = 866.48/x
  3. Step 3: Cross multiply
    2,020.72x = 3,031.12 × 866.48
  4. Step 4: Simplify right side
    2,020.72x = 2,626,404.86
  5. Step 5: Solve for x
    x = 2,626,404.86/2,020.72
  6. Step 6: Final answer
    x = 1,299.74

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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.