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Finding the Fourth Proportional to 2,020.83, 3,028 and 1,696.83

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Solution

The fourth proportional to 2,020.83, 3,028 and 1,696.83 is: 2,542.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.83 : 3,028 = 1,696.83 : x
  2. Step 2: Convert to fraction form
    2,020.83/3,028 = 1,696.83/x
  3. Step 3: Cross multiply
    2,020.83x = 3,028 × 1,696.83
  4. Step 4: Simplify right side
    2,020.83x = 5,138,001.24
  5. Step 5: Solve for x
    x = 5,138,001.24/2,020.83
  6. Step 6: Final answer
    x = 2,542.52

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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.