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Finding the Fourth Proportional to 2,215.68, 3,324 and 828.96

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Solution

The fourth proportional to 2,215.68, 3,324 and 828.96 is: 1,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.68 : 3,324 = 828.96 : x
  2. Step 2: Convert to fraction form
    2,215.68/3,324 = 828.96/x
  3. Step 3: Cross multiply
    2,215.68x = 3,324 × 828.96
  4. Step 4: Simplify right side
    2,215.68x = 2,755,463.04
  5. Step 5: Solve for x
    x = 2,755,463.04/2,215.68
  6. Step 6: Final answer
    x = 1,243.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.