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Finding the Fourth Proportional to 2,554.38, 3,832.18 and 994.43

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Solution

The fourth proportional to 2,554.38, 3,832.18 and 994.43 is: 1,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.38 : 3,832.18 = 994.43 : x
  2. Step 2: Convert to fraction form
    2,554.38/3,832.18 = 994.43/x
  3. Step 3: Cross multiply
    2,554.38x = 3,832.18 × 994.43
  4. Step 4: Simplify right side
    2,554.38x = 3,810,841.85
  5. Step 5: Solve for x
    x = 3,810,841.85/2,554.38
  6. Step 6: Final answer
    x = 1,491.89

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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.