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Finding the Fourth Proportional to 2,732.89, 3,771.48 and 1,738.14

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Solution

The fourth proportional to 2,732.89, 3,771.48 and 1,738.14 is: 2,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.89 : 3,771.48 = 1,738.14 : x
  2. Step 2: Convert to fraction form
    2,732.89/3,771.48 = 1,738.14/x
  3. Step 3: Cross multiply
    2,732.89x = 3,771.48 × 1,738.14
  4. Step 4: Simplify right side
    2,732.89x = 6,555,360.25
  5. Step 5: Solve for x
    x = 6,555,360.25/2,732.89
  6. Step 6: Final answer
    x = 2,398.69

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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.