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Finding the Fourth Proportional to 2,020.70, 3,029.21 and 721.86

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Solution

The fourth proportional to 2,020.70, 3,029.21 and 721.86 is: 1,082.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.70 : 3,029.21 = 721.86 : x
  2. Step 2: Convert to fraction form
    2,020.70/3,029.21 = 721.86/x
  3. Step 3: Cross multiply
    2,020.70x = 3,029.21 × 721.86
  4. Step 4: Simplify right side
    2,020.70x = 2,186,661.92
  5. Step 5: Solve for x
    x = 2,186,661.92/2,020.70
  6. Step 6: Final answer
    x = 1,082.13

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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.