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Finding the Fourth Proportional to 2,007.72, 3,009.56 and 966.20

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Solution

The fourth proportional to 2,007.72, 3,009.56 and 966.20 is: 1,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.72 : 3,009.56 = 966.20 : x
  2. Step 2: Convert to fraction form
    2,007.72/3,009.56 = 966.20/x
  3. Step 3: Cross multiply
    2,007.72x = 3,009.56 × 966.20
  4. Step 4: Simplify right side
    2,007.72x = 2,907,836.87
  5. Step 5: Solve for x
    x = 2,907,836.87/2,007.72
  6. Step 6: Final answer
    x = 1,448.33

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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.