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Finding the Fourth Proportional to 2,066.23, 3,096.55 and 968.14

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Solution

The fourth proportional to 2,066.23, 3,096.55 and 968.14 is: 1,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.23 : 3,096.55 = 968.14 : x
  2. Step 2: Convert to fraction form
    2,066.23/3,096.55 = 968.14/x
  3. Step 3: Cross multiply
    2,066.23x = 3,096.55 × 968.14
  4. Step 4: Simplify right side
    2,066.23x = 2,997,887.39
  5. Step 5: Solve for x
    x = 2,997,887.39/2,066.23
  6. Step 6: Final answer
    x = 1,450.90

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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.