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Finding the Fourth Proportional to 3,422.94, 4,722.48 and 2,005.44

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Solution

The fourth proportional to 3,422.94, 4,722.48 and 2,005.44 is: 2,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.94 : 4,722.48 = 2,005.44 : x
  2. Step 2: Convert to fraction form
    3,422.94/4,722.48 = 2,005.44/x
  3. Step 3: Cross multiply
    3,422.94x = 4,722.48 × 2,005.44
  4. Step 4: Simplify right side
    3,422.94x = 9,470,650.29
  5. Step 5: Solve for x
    x = 9,470,650.29/3,422.94
  6. Step 6: Final answer
    x = 2,766.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.