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Finding the Fourth Proportional to 2,116.19, 3,172.97 and 817.36

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Solution

The fourth proportional to 2,116.19, 3,172.97 and 817.36 is: 1,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.19 : 3,172.97 = 817.36 : x
  2. Step 2: Convert to fraction form
    2,116.19/3,172.97 = 817.36/x
  3. Step 3: Cross multiply
    2,116.19x = 3,172.97 × 817.36
  4. Step 4: Simplify right side
    2,116.19x = 2,593,452.87
  5. Step 5: Solve for x
    x = 2,593,452.87/2,116.19
  6. Step 6: Final answer
    x = 1,225.53

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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.