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Finding the Fourth Proportional to 2,021.05, 3,031.20 and 559.90

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Solution

The fourth proportional to 2,021.05, 3,031.20 and 559.90 is: 839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.05 : 3,031.20 = 559.90 : x
  2. Step 2: Convert to fraction form
    2,021.05/3,031.20 = 559.90/x
  3. Step 3: Cross multiply
    2,021.05x = 3,031.20 × 559.90
  4. Step 4: Simplify right side
    2,021.05x = 1,697,168.88
  5. Step 5: Solve for x
    x = 1,697,168.88/2,021.05
  6. Step 6: Final answer
    x = 839.75

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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.