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Finding the Fourth Proportional to 2,066.40, 3,096.97 and 968.35

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Solution

The fourth proportional to 2,066.40, 3,096.97 and 968.35 is: 1,451.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.40 : 3,096.97 = 968.35 : x
  2. Step 2: Convert to fraction form
    2,066.40/3,096.97 = 968.35/x
  3. Step 3: Cross multiply
    2,066.40x = 3,096.97 × 968.35
  4. Step 4: Simplify right side
    2,066.40x = 2,998,940.74
  5. Step 5: Solve for x
    x = 2,998,940.74/2,066.40
  6. Step 6: Final answer
    x = 1,451.29

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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.