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Finding the Fourth Proportional to 2,161.07, 3,238.90 and 927.05

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Solution

The fourth proportional to 2,161.07, 3,238.90 and 927.05 is: 1,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.07 : 3,238.90 = 927.05 : x
  2. Step 2: Convert to fraction form
    2,161.07/3,238.90 = 927.05/x
  3. Step 3: Cross multiply
    2,161.07x = 3,238.90 × 927.05
  4. Step 4: Simplify right side
    2,161.07x = 3,002,603.73
  5. Step 5: Solve for x
    x = 3,002,603.73/2,161.07
  6. Step 6: Final answer
    x = 1,389.41

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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.