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Finding the Fourth Proportional to 2,020.98, 3,031.85 and 704.68

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Solution

The fourth proportional to 2,020.98, 3,031.85 and 704.68 is: 1,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.98 : 3,031.85 = 704.68 : x
  2. Step 2: Convert to fraction form
    2,020.98/3,031.85 = 704.68/x
  3. Step 3: Cross multiply
    2,020.98x = 3,031.85 × 704.68
  4. Step 4: Simplify right side
    2,020.98x = 2,136,484.06
  5. Step 5: Solve for x
    x = 2,136,484.06/2,020.98
  6. Step 6: Final answer
    x = 1,057.15

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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.