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Finding the Fourth Proportional to 2,064.11, 3,096.66 and 967.19

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Solution

The fourth proportional to 2,064.11, 3,096.66 and 967.19 is: 1,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.11 : 3,096.66 = 967.19 : x
  2. Step 2: Convert to fraction form
    2,064.11/3,096.66 = 967.19/x
  3. Step 3: Cross multiply
    2,064.11x = 3,096.66 × 967.19
  4. Step 4: Simplify right side
    2,064.11x = 2,995,064.15
  5. Step 5: Solve for x
    x = 2,995,064.15/2,064.11
  6. Step 6: Final answer
    x = 1,451.02

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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.