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Finding the Fourth Proportional to 2,021.15, 3,031.73 and 850.20

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Solution

The fourth proportional to 2,021.15, 3,031.73 and 850.20 is: 1,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.15 : 3,031.73 = 850.20 : x
  2. Step 2: Convert to fraction form
    2,021.15/3,031.73 = 850.20/x
  3. Step 3: Cross multiply
    2,021.15x = 3,031.73 × 850.20
  4. Step 4: Simplify right side
    2,021.15x = 2,577,564.41
  5. Step 5: Solve for x
    x = 2,577,564.41/2,021.15
  6. Step 6: Final answer
    x = 1,275.29

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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.