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Finding the Fourth Proportional to 2,172.75, 2,998.44 and 1,288.23

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Solution

The fourth proportional to 2,172.75, 2,998.44 and 1,288.23 is: 1,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.75 : 2,998.44 = 1,288.23 : x
  2. Step 2: Convert to fraction form
    2,172.75/2,998.44 = 1,288.23/x
  3. Step 3: Cross multiply
    2,172.75x = 2,998.44 × 1,288.23
  4. Step 4: Simplify right side
    2,172.75x = 3,862,680.36
  5. Step 5: Solve for x
    x = 3,862,680.36/2,172.75
  6. Step 6: Final answer
    x = 1,777.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.