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Finding the Fourth Proportional to 2,006.43, 3,009.66 and 966.21

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Solution

The fourth proportional to 2,006.43, 3,009.66 and 966.21 is: 1,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.43 : 3,009.66 = 966.21 : x
  2. Step 2: Convert to fraction form
    2,006.43/3,009.66 = 966.21/x
  3. Step 3: Cross multiply
    2,006.43x = 3,009.66 × 966.21
  4. Step 4: Simplify right side
    2,006.43x = 2,907,963.59
  5. Step 5: Solve for x
    x = 2,907,963.59/2,006.43
  6. Step 6: Final answer
    x = 1,449.32

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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.