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Finding the Fourth Proportional to 1,949.88, 2,924.91 and 489.05

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Solution

The fourth proportional to 1,949.88, 2,924.91 and 489.05 is: 733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.88 : 2,924.91 = 489.05 : x
  2. Step 2: Convert to fraction form
    1,949.88/2,924.91 = 489.05/x
  3. Step 3: Cross multiply
    1,949.88x = 2,924.91 × 489.05
  4. Step 4: Simplify right side
    1,949.88x = 1,430,412.61
  5. Step 5: Solve for x
    x = 1,430,412.61/1,949.88
  6. Step 6: Final answer
    x = 733.59

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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.