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Finding the Fourth Proportional to 2,057.06, 3,092.28 and 1,650.65

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Solution

The fourth proportional to 2,057.06, 3,092.28 and 1,650.65 is: 2,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.06 : 3,092.28 = 1,650.65 : x
  2. Step 2: Convert to fraction form
    2,057.06/3,092.28 = 1,650.65/x
  3. Step 3: Cross multiply
    2,057.06x = 3,092.28 × 1,650.65
  4. Step 4: Simplify right side
    2,057.06x = 5,104,257.29
  5. Step 5: Solve for x
    x = 5,104,257.29/2,057.06
  6. Step 6: Final answer
    x = 2,481.33

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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.