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Finding the Fourth Proportional to 2,014.94, 3,022.44 and 844.97

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Solution

The fourth proportional to 2,014.94, 3,022.44 and 844.97 is: 1,267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.94 : 3,022.44 = 844.97 : x
  2. Step 2: Convert to fraction form
    2,014.94/3,022.44 = 844.97/x
  3. Step 3: Cross multiply
    2,014.94x = 3,022.44 × 844.97
  4. Step 4: Simplify right side
    2,014.94x = 2,553,856.01
  5. Step 5: Solve for x
    x = 2,553,856.01/2,014.94
  6. Step 6: Final answer
    x = 1,267.46

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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.