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Finding the Fourth Proportional to 2,718.35, 3,747.75 and 1,961.49

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Solution

The fourth proportional to 2,718.35, 3,747.75 and 1,961.49 is: 2,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.35 : 3,747.75 = 1,961.49 : x
  2. Step 2: Convert to fraction form
    2,718.35/3,747.75 = 1,961.49/x
  3. Step 3: Cross multiply
    2,718.35x = 3,747.75 × 1,961.49
  4. Step 4: Simplify right side
    2,718.35x = 7,351,166.79
  5. Step 5: Solve for x
    x = 7,351,166.79/2,718.35
  6. Step 6: Final answer
    x = 2,704.28

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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.