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Finding the Fourth Proportional to 4,155.78, 6,230.26 and 1,936

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Solution

The fourth proportional to 4,155.78, 6,230.26 and 1,936 is: 2,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.78 : 6,230.26 = 1,936 : x
  2. Step 2: Convert to fraction form
    4,155.78/6,230.26 = 1,936/x
  3. Step 3: Cross multiply
    4,155.78x = 6,230.26 × 1,936
  4. Step 4: Simplify right side
    4,155.78x = 12,061,783.36
  5. Step 5: Solve for x
    x = 12,061,783.36/4,155.78
  6. Step 6: Final answer
    x = 2,902.41

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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.