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Finding the Fourth Proportional to 2,841.17, 3,919.88 and 1,661.41

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Solution

The fourth proportional to 2,841.17, 3,919.88 and 1,661.41 is: 2,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.17 : 3,919.88 = 1,661.41 : x
  2. Step 2: Convert to fraction form
    2,841.17/3,919.88 = 1,661.41/x
  3. Step 3: Cross multiply
    2,841.17x = 3,919.88 × 1,661.41
  4. Step 4: Simplify right side
    2,841.17x = 6,512,499.92
  5. Step 5: Solve for x
    x = 6,512,499.92/2,841.17
  6. Step 6: Final answer
    x = 2,292.19

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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.