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Finding the Fourth Proportional to 1,949.87, 2,924.80 and 563.31

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Solution

The fourth proportional to 1,949.87, 2,924.80 and 563.31 is: 844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.87 : 2,924.80 = 563.31 : x
  2. Step 2: Convert to fraction form
    1,949.87/2,924.80 = 563.31/x
  3. Step 3: Cross multiply
    1,949.87x = 2,924.80 × 563.31
  4. Step 4: Simplify right side
    1,949.87x = 1,647,567.68
  5. Step 5: Solve for x
    x = 1,647,567.68/1,949.87
  6. Step 6: Final answer
    x = 844.96

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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.