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Finding the Fourth Proportional to 2,736.69, 3,778.46 and 2,106.11

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Solution

The fourth proportional to 2,736.69, 3,778.46 and 2,106.11 is: 2,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.69 : 3,778.46 = 2,106.11 : x
  2. Step 2: Convert to fraction form
    2,736.69/3,778.46 = 2,106.11/x
  3. Step 3: Cross multiply
    2,736.69x = 3,778.46 × 2,106.11
  4. Step 4: Simplify right side
    2,736.69x = 7,957,852.39
  5. Step 5: Solve for x
    x = 7,957,852.39/2,736.69
  6. Step 6: Final answer
    x = 2,907.84

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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.