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Finding the Fourth Proportional to 2,005.91, 3,004.29 and 966.66

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Solution

The fourth proportional to 2,005.91, 3,004.29 and 966.66 is: 1,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.91 : 3,004.29 = 966.66 : x
  2. Step 2: Convert to fraction form
    2,005.91/3,004.29 = 966.66/x
  3. Step 3: Cross multiply
    2,005.91x = 3,004.29 × 966.66
  4. Step 4: Simplify right side
    2,005.91x = 2,904,126.97
  5. Step 5: Solve for x
    x = 2,904,126.97/2,005.91
  6. Step 6: Final answer
    x = 1,447.79

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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.