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Finding the Fourth Proportional to 2,999.40, 4,138.11 and 2,005.31

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Solution

The fourth proportional to 2,999.40, 4,138.11 and 2,005.31 is: 2,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.40 : 4,138.11 = 2,005.31 : x
  2. Step 2: Convert to fraction form
    2,999.40/4,138.11 = 2,005.31/x
  3. Step 3: Cross multiply
    2,999.40x = 4,138.11 × 2,005.31
  4. Step 4: Simplify right side
    2,999.40x = 8,298,172.67
  5. Step 5: Solve for x
    x = 8,298,172.67/2,999.40
  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.