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Finding the Fourth Proportional to 2,131.78, 2,940.91 and 1,247.20

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Solution

The fourth proportional to 2,131.78, 2,940.91 and 1,247.20 is: 1,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.78 : 2,940.91 = 1,247.20 : x
  2. Step 2: Convert to fraction form
    2,131.78/2,940.91 = 1,247.20/x
  3. Step 3: Cross multiply
    2,131.78x = 2,940.91 × 1,247.20
  4. Step 4: Simplify right side
    2,131.78x = 3,667,902.95
  5. Step 5: Solve for x
    x = 3,667,902.95/2,131.78
  6. Step 6: Final answer
    x = 1,720.58

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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.