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Finding the Fourth Proportional to 2,548.67, 3,822.31 and 699.34

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Solution

The fourth proportional to 2,548.67, 3,822.31 and 699.34 is: 1,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.67 : 3,822.31 = 699.34 : x
  2. Step 2: Convert to fraction form
    2,548.67/3,822.31 = 699.34/x
  3. Step 3: Cross multiply
    2,548.67x = 3,822.31 × 699.34
  4. Step 4: Simplify right side
    2,548.67x = 2,673,100.33
  5. Step 5: Solve for x
    x = 2,673,100.33/2,548.67
  6. Step 6: Final answer
    x = 1,048.82

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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.