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Finding the Fourth Proportional to 2,664.06, 3,996.38 and 1,022

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Solution

The fourth proportional to 2,664.06, 3,996.38 and 1,022 is: 1,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.06 : 3,996.38 = 1,022 : x
  2. Step 2: Convert to fraction form
    2,664.06/3,996.38 = 1,022/x
  3. Step 3: Cross multiply
    2,664.06x = 3,996.38 × 1,022
  4. Step 4: Simplify right side
    2,664.06x = 4,084,300.36
  5. Step 5: Solve for x
    x = 4,084,300.36/2,664.06
  6. Step 6: Final answer
    x = 1,533.11

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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.