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Finding the Fourth Proportional to 2,072.75, 3,107.72 and 822.51

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Solution

The fourth proportional to 2,072.75, 3,107.72 and 822.51 is: 1,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.75 : 3,107.72 = 822.51 : x
  2. Step 2: Convert to fraction form
    2,072.75/3,107.72 = 822.51/x
  3. Step 3: Cross multiply
    2,072.75x = 3,107.72 × 822.51
  4. Step 4: Simplify right side
    2,072.75x = 2,556,132.83
  5. Step 5: Solve for x
    x = 2,556,132.83/2,072.75
  6. Step 6: Final answer
    x = 1,233.21

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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.