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Finding the Fourth Proportional to 1,895.87, 2,843.78 and 663.27

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Solution

The fourth proportional to 1,895.87, 2,843.78 and 663.27 is: 994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.87 : 2,843.78 = 663.27 : x
  2. Step 2: Convert to fraction form
    1,895.87/2,843.78 = 663.27/x
  3. Step 3: Cross multiply
    1,895.87x = 2,843.78 × 663.27
  4. Step 4: Simplify right side
    1,895.87x = 1,886,190.64
  5. Step 5: Solve for x
    x = 1,886,190.64/1,895.87
  6. Step 6: Final answer
    x = 994.90

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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.