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Finding the Fourth Proportional to 3,180.78, 4,771.38 and 1,100.99

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Solution

The fourth proportional to 3,180.78, 4,771.38 and 1,100.99 is: 1,651.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.78 : 4,771.38 = 1,100.99 : x
  2. Step 2: Convert to fraction form
    3,180.78/4,771.38 = 1,100.99/x
  3. Step 3: Cross multiply
    3,180.78x = 4,771.38 × 1,100.99
  4. Step 4: Simplify right side
    3,180.78x = 5,253,217.81
  5. Step 5: Solve for x
    x = 5,253,217.81/3,180.78
  6. Step 6: Final answer
    x = 1,651.55

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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.