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Finding the Fourth Proportional to 3,392.73, 5,098.83 and 1,662.57

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Solution

The fourth proportional to 3,392.73, 5,098.83 and 1,662.57 is: 2,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.73 : 5,098.83 = 1,662.57 : x
  2. Step 2: Convert to fraction form
    3,392.73/5,098.83 = 1,662.57/x
  3. Step 3: Cross multiply
    3,392.73x = 5,098.83 × 1,662.57
  4. Step 4: Simplify right side
    3,392.73x = 8,477,161.79
  5. Step 5: Solve for x
    x = 8,477,161.79/3,392.73
  6. Step 6: Final answer
    x = 2,498.63

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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.