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Finding the Fourth Proportional to 2,181.76, 3,274.50 and 1,085.80

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Solution

The fourth proportional to 2,181.76, 3,274.50 and 1,085.80 is: 1,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.76 : 3,274.50 = 1,085.80 : x
  2. Step 2: Convert to fraction form
    2,181.76/3,274.50 = 1,085.80/x
  3. Step 3: Cross multiply
    2,181.76x = 3,274.50 × 1,085.80
  4. Step 4: Simplify right side
    2,181.76x = 3,555,452.10
  5. Step 5: Solve for x
    x = 3,555,452.10/2,181.76
  6. Step 6: Final answer
    x = 1,629.63

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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.