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Finding the Fourth Proportional to 2,066.39, 3,096.95 and 968.33

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Solution

The fourth proportional to 2,066.39, 3,096.95 and 968.33 is: 1,451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.39 : 3,096.95 = 968.33 : x
  2. Step 2: Convert to fraction form
    2,066.39/3,096.95 = 968.33/x
  3. Step 3: Cross multiply
    2,066.39x = 3,096.95 × 968.33
  4. Step 4: Simplify right side
    2,066.39x = 2,998,872.49
  5. Step 5: Solve for x
    x = 2,998,872.49/2,066.39
  6. Step 6: Final answer
    x = 1,451.27

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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.