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Finding the Fourth Proportional to 2,711.95, 3,741.39 and 2,005.44

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Solution

The fourth proportional to 2,711.95, 3,741.39 and 2,005.44 is: 2,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.95 : 3,741.39 = 2,005.44 : x
  2. Step 2: Convert to fraction form
    2,711.95/3,741.39 = 2,005.44/x
  3. Step 3: Cross multiply
    2,711.95x = 3,741.39 × 2,005.44
  4. Step 4: Simplify right side
    2,711.95x = 7,503,133.16
  5. Step 5: Solve for x
    x = 7,503,133.16/2,711.95
  6. Step 6: Final answer
    x = 2,766.69

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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.