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Finding the Fourth Proportional to 2,843.73, 4,267.53 and 1,744.74

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Solution

The fourth proportional to 2,843.73, 4,267.53 and 1,744.74 is: 2,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.73 : 4,267.53 = 1,744.74 : x
  2. Step 2: Convert to fraction form
    2,843.73/4,267.53 = 1,744.74/x
  3. Step 3: Cross multiply
    2,843.73x = 4,267.53 × 1,744.74
  4. Step 4: Simplify right side
    2,843.73x = 7,445,730.29
  5. Step 5: Solve for x
    x = 7,445,730.29/2,843.73
  6. Step 6: Final answer
    x = 2,618.30

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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.