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Finding the Fourth Proportional to 2,641.05, 3,961.58 and 1,818.50

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Solution

The fourth proportional to 2,641.05, 3,961.58 and 1,818.50 is: 2,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.05 : 3,961.58 = 1,818.50 : x
  2. Step 2: Convert to fraction form
    2,641.05/3,961.58 = 1,818.50/x
  3. Step 3: Cross multiply
    2,641.05x = 3,961.58 × 1,818.50
  4. Step 4: Simplify right side
    2,641.05x = 7,204,104.33
  5. Step 5: Solve for x
    x = 7,204,104.33/2,641.05
  6. Step 6: Final answer
    x = 2,727.74

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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.