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Finding the Fourth Proportional to 1,949.94, 2,924.85 and 489.09

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Solution

The fourth proportional to 1,949.94, 2,924.85 and 489.09 is: 733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.94 : 2,924.85 = 489.09 : x
  2. Step 2: Convert to fraction form
    1,949.94/2,924.85 = 489.09/x
  3. Step 3: Cross multiply
    1,949.94x = 2,924.85 × 489.09
  4. Step 4: Simplify right side
    1,949.94x = 1,430,514.89
  5. Step 5: Solve for x
    x = 1,430,514.89/1,949.94
  6. Step 6: Final answer
    x = 733.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.