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Finding the Fourth Proportional to 2,993.94, 4,490.91 and 2,305.04

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Solution

The fourth proportional to 2,993.94, 4,490.91 and 2,305.04 is: 3,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.94 : 4,490.91 = 2,305.04 : x
  2. Step 2: Convert to fraction form
    2,993.94/4,490.91 = 2,305.04/x
  3. Step 3: Cross multiply
    2,993.94x = 4,490.91 × 2,305.04
  4. Step 4: Simplify right side
    2,993.94x = 10,351,704.73
  5. Step 5: Solve for x
    x = 10,351,704.73/2,993.94
  6. Step 6: Final answer
    x = 3,457.55

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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.