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Finding the Fourth Proportional to 1,821.44, 2,732.24 and 588.86

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Solution

The fourth proportional to 1,821.44, 2,732.24 and 588.86 is: 883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.44 : 2,732.24 = 588.86 : x
  2. Step 2: Convert to fraction form
    1,821.44/2,732.24 = 588.86/x
  3. Step 3: Cross multiply
    1,821.44x = 2,732.24 × 588.86
  4. Step 4: Simplify right side
    1,821.44x = 1,608,906.85
  5. Step 5: Solve for x
    x = 1,608,906.85/1,821.44
  6. Step 6: Final answer
    x = 883.32

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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.