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Finding the Fourth Proportional to 2,726.94, 3,766.70 and 2,105.15

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Solution

The fourth proportional to 2,726.94, 3,766.70 and 2,105.15 is: 2,907.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.94 : 3,766.70 = 2,105.15 : x
  2. Step 2: Convert to fraction form
    2,726.94/3,766.70 = 2,105.15/x
  3. Step 3: Cross multiply
    2,726.94x = 3,766.70 × 2,105.15
  4. Step 4: Simplify right side
    2,726.94x = 7,929,467.40
  5. Step 5: Solve for x
    x = 7,929,467.40/2,726.94
  6. Step 6: Final answer
    x = 2,907.83

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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.