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Finding the Fourth Proportional to 2,116.02, 3,172.17 and 816.60

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Solution

The fourth proportional to 2,116.02, 3,172.17 and 816.60 is: 1,224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.02 : 3,172.17 = 816.60 : x
  2. Step 2: Convert to fraction form
    2,116.02/3,172.17 = 816.60/x
  3. Step 3: Cross multiply
    2,116.02x = 3,172.17 × 816.60
  4. Step 4: Simplify right side
    2,116.02x = 2,590,394.02
  5. Step 5: Solve for x
    x = 2,590,394.02/2,116.02
  6. Step 6: Final answer
    x = 1,224.18

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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.