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Finding the Fourth Proportional to 1,634.87, 2,450.49 and 813.74

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Solution

The fourth proportional to 1,634.87, 2,450.49 and 813.74 is: 1,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.87 : 2,450.49 = 813.74 : x
  2. Step 2: Convert to fraction form
    1,634.87/2,450.49 = 813.74/x
  3. Step 3: Cross multiply
    1,634.87x = 2,450.49 × 813.74
  4. Step 4: Simplify right side
    1,634.87x = 1,994,061.73
  5. Step 5: Solve for x
    x = 1,994,061.73/1,634.87
  6. Step 6: Final answer
    x = 1,219.71

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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.