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Finding the Fourth Proportional to 2,066.66, 3,096.74 and 1,441.34

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Solution

The fourth proportional to 2,066.66, 3,096.74 and 1,441.34 is: 2,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.66 : 3,096.74 = 1,441.34 : x
  2. Step 2: Convert to fraction form
    2,066.66/3,096.74 = 1,441.34/x
  3. Step 3: Cross multiply
    2,066.66x = 3,096.74 × 1,441.34
  4. Step 4: Simplify right side
    2,066.66x = 4,463,439.75
  5. Step 5: Solve for x
    x = 4,463,439.75/2,066.66
  6. Step 6: Final answer
    x = 2,159.74

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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.