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Finding the Fourth Proportional to 1,917.27, 2,873.48 and 820.43

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Solution

The fourth proportional to 1,917.27, 2,873.48 and 820.43 is: 1,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.27 : 2,873.48 = 820.43 : x
  2. Step 2: Convert to fraction form
    1,917.27/2,873.48 = 820.43/x
  3. Step 3: Cross multiply
    1,917.27x = 2,873.48 × 820.43
  4. Step 4: Simplify right side
    1,917.27x = 2,357,481.50
  5. Step 5: Solve for x
    x = 2,357,481.50/1,917.27
  6. Step 6: Final answer
    x = 1,229.60

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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.