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Finding the Fourth Proportional to 2,215.70, 3,321.51 and 828.33

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Solution

The fourth proportional to 2,215.70, 3,321.51 and 828.33 is: 1,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.70 : 3,321.51 = 828.33 : x
  2. Step 2: Convert to fraction form
    2,215.70/3,321.51 = 828.33/x
  3. Step 3: Cross multiply
    2,215.70x = 3,321.51 × 828.33
  4. Step 4: Simplify right side
    2,215.70x = 2,751,290.82
  5. Step 5: Solve for x
    x = 2,751,290.82/2,215.70
  6. Step 6: Final answer
    x = 1,241.72

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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.