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Finding the Fourth Proportional to 2,682.18, 3,699.81 and 1,963.98

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Solution

The fourth proportional to 2,682.18, 3,699.81 and 1,963.98 is: 2,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.18 : 3,699.81 = 1,963.98 : x
  2. Step 2: Convert to fraction form
    2,682.18/3,699.81 = 1,963.98/x
  3. Step 3: Cross multiply
    2,682.18x = 3,699.81 × 1,963.98
  4. Step 4: Simplify right side
    2,682.18x = 7,266,352.84
  5. Step 5: Solve for x
    x = 7,266,352.84/2,682.18
  6. Step 6: Final answer
    x = 2,709.12

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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.