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Finding the Fourth Proportional to 2,199.96, 3,297.64 and 966.33

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Solution

The fourth proportional to 2,199.96, 3,297.64 and 966.33 is: 1,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.96 : 3,297.64 = 966.33 : x
  2. Step 2: Convert to fraction form
    2,199.96/3,297.64 = 966.33/x
  3. Step 3: Cross multiply
    2,199.96x = 3,297.64 × 966.33
  4. Step 4: Simplify right side
    2,199.96x = 3,186,608.46
  5. Step 5: Solve for x
    x = 3,186,608.46/2,199.96
  6. Step 6: Final answer
    x = 1,448.48

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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.