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Finding the Fourth Proportional to 2,064.46, 3,096.67 and 968.05

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Solution

The fourth proportional to 2,064.46, 3,096.67 and 968.05 is: 1,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.46 : 3,096.67 = 968.05 : x
  2. Step 2: Convert to fraction form
    2,064.46/3,096.67 = 968.05/x
  3. Step 3: Cross multiply
    2,064.46x = 3,096.67 × 968.05
  4. Step 4: Simplify right side
    2,064.46x = 2,997,733.30
  5. Step 5: Solve for x
    x = 2,997,733.30/2,064.46
  6. Step 6: Final answer
    x = 1,452.07

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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.