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Finding the Fourth Proportional to 2,020.04, 3,028.04 and 850.33

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Solution

The fourth proportional to 2,020.04, 3,028.04 and 850.33 is: 1,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.04 : 3,028.04 = 850.33 : x
  2. Step 2: Convert to fraction form
    2,020.04/3,028.04 = 850.33/x
  3. Step 3: Cross multiply
    2,020.04x = 3,028.04 × 850.33
  4. Step 4: Simplify right side
    2,020.04x = 2,574,835.98
  5. Step 5: Solve for x
    x = 2,574,835.98/2,020.04
  6. Step 6: Final answer
    x = 1,274.64

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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.