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Finding the Fourth Proportional to 1,467.36, 2,198.88 and 818.28

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Solution

The fourth proportional to 1,467.36, 2,198.88 and 818.28 is: 1,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.36 : 2,198.88 = 818.28 : x
  2. Step 2: Convert to fraction form
    1,467.36/2,198.88 = 818.28/x
  3. Step 3: Cross multiply
    1,467.36x = 2,198.88 × 818.28
  4. Step 4: Simplify right side
    1,467.36x = 1,799,299.53
  5. Step 5: Solve for x
    x = 1,799,299.53/1,467.36
  6. Step 6: Final answer
    x = 1,226.22

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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.