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Finding the Fourth Proportional to 3,122.40, 4,310.97 and 2,003.84

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Solution

The fourth proportional to 3,122.40, 4,310.97 and 2,003.84 is: 2,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.40 : 4,310.97 = 2,003.84 : x
  2. Step 2: Convert to fraction form
    3,122.40/4,310.97 = 2,003.84/x
  3. Step 3: Cross multiply
    3,122.40x = 4,310.97 × 2,003.84
  4. Step 4: Simplify right side
    3,122.40x = 8,638,472.57
  5. Step 5: Solve for x
    x = 8,638,472.57/3,122.40
  6. Step 6: Final answer
    x = 2,766.61

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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.