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Finding the Fourth Proportional to 2,172.41, 2,998.97 and 1,544.26

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Solution

The fourth proportional to 2,172.41, 2,998.97 and 1,544.26 is: 2,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.41 : 2,998.97 = 1,544.26 : x
  2. Step 2: Convert to fraction form
    2,172.41/2,998.97 = 1,544.26/x
  3. Step 3: Cross multiply
    2,172.41x = 2,998.97 × 1,544.26
  4. Step 4: Simplify right side
    2,172.41x = 4,631,178.28
  5. Step 5: Solve for x
    x = 4,631,178.28/2,172.41
  6. Step 6: Final answer
    x = 2,131.82

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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.