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Finding the Fourth Proportional to 1,466.22, 2,198.81 and 492.11

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Solution

The fourth proportional to 1,466.22, 2,198.81 and 492.11 is: 737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.22 : 2,198.81 = 492.11 : x
  2. Step 2: Convert to fraction form
    1,466.22/2,198.81 = 492.11/x
  3. Step 3: Cross multiply
    1,466.22x = 2,198.81 × 492.11
  4. Step 4: Simplify right side
    1,466.22x = 1,082,042.93
  5. Step 5: Solve for x
    x = 1,082,042.93/1,466.22
  6. Step 6: Final answer
    x = 737.98

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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.