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Finding the Fourth Proportional to 1,466.38, 2,198.00 and 1,004.03

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Solution

The fourth proportional to 1,466.38, 2,198.00 and 1,004.03 is: 1,504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.38 : 2,198.00 = 1,004.03 : x
  2. Step 2: Convert to fraction form
    1,466.38/2,198.00 = 1,004.03/x
  3. Step 3: Cross multiply
    1,466.38x = 2,198.00 × 1,004.03
  4. Step 4: Simplify right side
    1,466.38x = 2,206,849.46
  5. Step 5: Solve for x
    x = 2,206,849.46/1,466.38
  6. Step 6: Final answer
    x = 1,504.97

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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.