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Finding the Fourth Proportional to 2,841, 3,919.29 and 1,661.55

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Solution

The fourth proportional to 2,841, 3,919.29 and 1,661.55 is: 2,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841 : 3,919.29 = 1,661.55 : x
  2. Step 2: Convert to fraction form
    2,841/3,919.29 = 1,661.55/x
  3. Step 3: Cross multiply
    2,841x = 3,919.29 × 1,661.55
  4. Step 4: Simplify right side
    2,841x = 6,512,096.30
  5. Step 5: Solve for x
    x = 6,512,096.30/2,841
  6. Step 6: Final answer
    x = 2,292.18

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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.