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Finding the Fourth Proportional to 2,681.49, 3,680.72 and 2,380.17

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Solution

The fourth proportional to 2,681.49, 3,680.72 and 2,380.17 is: 3,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.49 : 3,680.72 = 2,380.17 : x
  2. Step 2: Convert to fraction form
    2,681.49/3,680.72 = 2,380.17/x
  3. Step 3: Cross multiply
    2,681.49x = 3,680.72 × 2,380.17
  4. Step 4: Simplify right side
    2,681.49x = 8,760,745.27
  5. Step 5: Solve for x
    x = 8,760,745.27/2,681.49
  6. Step 6: Final answer
    x = 3,267.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.