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Finding the Fourth Proportional to 2,020.85, 3,031.05 and 704.38

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Solution

The fourth proportional to 2,020.85, 3,031.05 and 704.38 is: 1,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.85 : 3,031.05 = 704.38 : x
  2. Step 2: Convert to fraction form
    2,020.85/3,031.05 = 704.38/x
  3. Step 3: Cross multiply
    2,020.85x = 3,031.05 × 704.38
  4. Step 4: Simplify right side
    2,020.85x = 2,135,011.00
  5. Step 5: Solve for x
    x = 2,135,011.00/2,020.85
  6. Step 6: Final answer
    x = 1,056.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.