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Finding the Fourth Proportional to 2,682.88, 4,022.82 and 1,365.81

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Solution

The fourth proportional to 2,682.88, 4,022.82 and 1,365.81 is: 2,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.88 : 4,022.82 = 1,365.81 : x
  2. Step 2: Convert to fraction form
    2,682.88/4,022.82 = 1,365.81/x
  3. Step 3: Cross multiply
    2,682.88x = 4,022.82 × 1,365.81
  4. Step 4: Simplify right side
    2,682.88x = 5,494,407.78
  5. Step 5: Solve for x
    x = 5,494,407.78/2,682.88
  6. Step 6: Final answer
    x = 2,047.95

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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.