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Finding the Fourth Proportional to 2,116.09, 3,172.41 and 884.42

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Solution

The fourth proportional to 2,116.09, 3,172.41 and 884.42 is: 1,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.09 : 3,172.41 = 884.42 : x
  2. Step 2: Convert to fraction form
    2,116.09/3,172.41 = 884.42/x
  3. Step 3: Cross multiply
    2,116.09x = 3,172.41 × 884.42
  4. Step 4: Simplify right side
    2,116.09x = 2,805,738.43
  5. Step 5: Solve for x
    x = 2,805,738.43/2,116.09
  6. Step 6: Final answer
    x = 1,325.91

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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.