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Finding the Fourth Proportional to 1,843.28, 2,766.12 and 1,694.96

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Solution

The fourth proportional to 1,843.28, 2,766.12 and 1,694.96 is: 2,543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.28 : 2,766.12 = 1,694.96 : x
  2. Step 2: Convert to fraction form
    1,843.28/2,766.12 = 1,694.96/x
  3. Step 3: Cross multiply
    1,843.28x = 2,766.12 × 1,694.96
  4. Step 4: Simplify right side
    1,843.28x = 4,688,462.76
  5. Step 5: Solve for x
    x = 4,688,462.76/1,843.28
  6. Step 6: Final answer
    x = 2,543.54

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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.