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Finding the Fourth Proportional to 1,441.28, 2,162.46 and 864.56

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Solution

The fourth proportional to 1,441.28, 2,162.46 and 864.56 is: 1,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.28 : 2,162.46 = 864.56 : x
  2. Step 2: Convert to fraction form
    1,441.28/2,162.46 = 864.56/x
  3. Step 3: Cross multiply
    1,441.28x = 2,162.46 × 864.56
  4. Step 4: Simplify right side
    1,441.28x = 1,869,576.42
  5. Step 5: Solve for x
    x = 1,869,576.42/1,441.28
  6. Step 6: Final answer
    x = 1,297.16

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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.