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Finding the Fourth Proportional to 2,057.54, 3,083.16 and 1,222.93

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Solution

The fourth proportional to 2,057.54, 3,083.16 and 1,222.93 is: 1,832.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.54 : 3,083.16 = 1,222.93 : x
  2. Step 2: Convert to fraction form
    2,057.54/3,083.16 = 1,222.93/x
  3. Step 3: Cross multiply
    2,057.54x = 3,083.16 × 1,222.93
  4. Step 4: Simplify right side
    2,057.54x = 3,770,497.30
  5. Step 5: Solve for x
    x = 3,770,497.30/2,057.54
  6. Step 6: Final answer
    x = 1,832.53

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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.