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Finding the Fourth Proportional to 2,251.36, 3,377.46 and 864.64

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Solution

The fourth proportional to 2,251.36, 3,377.46 and 864.64 is: 1,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.36 : 3,377.46 = 864.64 : x
  2. Step 2: Convert to fraction form
    2,251.36/3,377.46 = 864.64/x
  3. Step 3: Cross multiply
    2,251.36x = 3,377.46 × 864.64
  4. Step 4: Simplify right side
    2,251.36x = 2,920,287.01
  5. Step 5: Solve for x
    x = 2,920,287.01/2,251.36
  6. Step 6: Final answer
    x = 1,297.12

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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.