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Finding the Fourth Proportional to 2,215.97, 3,324.51 and 829.35

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Solution

The fourth proportional to 2,215.97, 3,324.51 and 829.35 is: 1,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.97 : 3,324.51 = 829.35 : x
  2. Step 2: Convert to fraction form
    2,215.97/3,324.51 = 829.35/x
  3. Step 3: Cross multiply
    2,215.97x = 3,324.51 × 829.35
  4. Step 4: Simplify right side
    2,215.97x = 2,757,182.37
  5. Step 5: Solve for x
    x = 2,757,182.37/2,215.97
  6. Step 6: Final answer
    x = 1,244.24

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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.