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Finding the Fourth Proportional to 1,769.87, 2,654.81 and 1,662.95

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Solution

The fourth proportional to 1,769.87, 2,654.81 and 1,662.95 is: 2,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.87 : 2,654.81 = 1,662.95 : x
  2. Step 2: Convert to fraction form
    1,769.87/2,654.81 = 1,662.95/x
  3. Step 3: Cross multiply
    1,769.87x = 2,654.81 × 1,662.95
  4. Step 4: Simplify right side
    1,769.87x = 4,414,794.70
  5. Step 5: Solve for x
    x = 4,414,794.70/1,769.87
  6. Step 6: Final answer
    x = 2,494.42

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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.