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Finding the Fourth Proportional to 2,007.27, 3,007.26 and 1,999.98

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Solution

The fourth proportional to 2,007.27, 3,007.26 and 1,999.98 is: 2,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.27 : 3,007.26 = 1,999.98 : x
  2. Step 2: Convert to fraction form
    2,007.27/3,007.26 = 1,999.98/x
  3. Step 3: Cross multiply
    2,007.27x = 3,007.26 × 1,999.98
  4. Step 4: Simplify right side
    2,007.27x = 6,014,459.85
  5. Step 5: Solve for x
    x = 6,014,459.85/2,007.27
  6. Step 6: Final answer
    x = 2,996.34

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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.