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Finding the Fourth Proportional to 2,821.73, 4,249.10 and 2,047.16

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Solution

The fourth proportional to 2,821.73, 4,249.10 and 2,047.16 is: 3,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.73 : 4,249.10 = 2,047.16 : x
  2. Step 2: Convert to fraction form
    2,821.73/4,249.10 = 2,047.16/x
  3. Step 3: Cross multiply
    2,821.73x = 4,249.10 × 2,047.16
  4. Step 4: Simplify right side
    2,821.73x = 8,698,556.07
  5. Step 5: Solve for x
    x = 8,698,556.07/2,821.73
  6. Step 6: Final answer
    x = 3,082.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.