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Finding the Fourth Proportional to 2,033.90, 3,049.83 and 993.98

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Solution

The fourth proportional to 2,033.90, 3,049.83 and 993.98 is: 1,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.90 : 3,049.83 = 993.98 : x
  2. Step 2: Convert to fraction form
    2,033.90/3,049.83 = 993.98/x
  3. Step 3: Cross multiply
    2,033.90x = 3,049.83 × 993.98
  4. Step 4: Simplify right side
    2,033.90x = 3,031,470.02
  5. Step 5: Solve for x
    x = 3,031,470.02/2,033.90
  6. Step 6: Final answer
    x = 1,490.47

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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.