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Finding the Fourth Proportional to 2,020.28, 3,027.86 and 980.52

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Solution

The fourth proportional to 2,020.28, 3,027.86 and 980.52 is: 1,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.28 : 3,027.86 = 980.52 : x
  2. Step 2: Convert to fraction form
    2,020.28/3,027.86 = 980.52/x
  3. Step 3: Cross multiply
    2,020.28x = 3,027.86 × 980.52
  4. Step 4: Simplify right side
    2,020.28x = 2,968,877.29
  5. Step 5: Solve for x
    x = 2,968,877.29/2,020.28
  6. Step 6: Final answer
    x = 1,469.54

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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.