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Finding the Fourth Proportional to 2,841.26, 3,921.40 and 1,662.10

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Solution

The fourth proportional to 2,841.26, 3,921.40 and 1,662.10 is: 2,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.26 : 3,921.40 = 1,662.10 : x
  2. Step 2: Convert to fraction form
    2,841.26/3,921.40 = 1,662.10/x
  3. Step 3: Cross multiply
    2,841.26x = 3,921.40 × 1,662.10
  4. Step 4: Simplify right side
    2,841.26x = 6,517,751.21
  5. Step 5: Solve for x
    x = 6,517,751.21/2,841.26
  6. Step 6: Final answer
    x = 2,293.97

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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.