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Finding the Fourth Proportional to 2,816.09, 4,224.64 and 966.73

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Solution

The fourth proportional to 2,816.09, 4,224.64 and 966.73 is: 1,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.09 : 4,224.64 = 966.73 : x
  2. Step 2: Convert to fraction form
    2,816.09/4,224.64 = 966.73/x
  3. Step 3: Cross multiply
    2,816.09x = 4,224.64 × 966.73
  4. Step 4: Simplify right side
    2,816.09x = 4,084,065.10
  5. Step 5: Solve for x
    x = 4,084,065.10/2,816.09
  6. Step 6: Final answer
    x = 1,450.26

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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.