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Finding the Fourth Proportional to 2,993.73, 4,490.22 and 802.62

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Solution

The fourth proportional to 2,993.73, 4,490.22 and 802.62 is: 1,203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.73 : 4,490.22 = 802.62 : x
  2. Step 2: Convert to fraction form
    2,993.73/4,490.22 = 802.62/x
  3. Step 3: Cross multiply
    2,993.73x = 4,490.22 × 802.62
  4. Step 4: Simplify right side
    2,993.73x = 3,603,940.38
  5. Step 5: Solve for x
    x = 3,603,940.38/2,993.73
  6. Step 6: Final answer
    x = 1,203.83

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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.