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Finding the Fourth Proportional to 2,741.08, 4,109.57 and 891.09

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Solution

The fourth proportional to 2,741.08, 4,109.57 and 891.09 is: 1,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.08 : 4,109.57 = 891.09 : x
  2. Step 2: Convert to fraction form
    2,741.08/4,109.57 = 891.09/x
  3. Step 3: Cross multiply
    2,741.08x = 4,109.57 × 891.09
  4. Step 4: Simplify right side
    2,741.08x = 3,661,996.73
  5. Step 5: Solve for x
    x = 3,661,996.73/2,741.08
  6. Step 6: Final answer
    x = 1,335.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.