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Finding the Fourth Proportional to 2,181.87, 3,271.77 and 794.22

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Solution

The fourth proportional to 2,181.87, 3,271.77 and 794.22 is: 1,190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.87 : 3,271.77 = 794.22 : x
  2. Step 2: Convert to fraction form
    2,181.87/3,271.77 = 794.22/x
  3. Step 3: Cross multiply
    2,181.87x = 3,271.77 × 794.22
  4. Step 4: Simplify right side
    2,181.87x = 2,598,505.17
  5. Step 5: Solve for x
    x = 2,598,505.17/2,181.87
  6. Step 6: Final answer
    x = 1,190.95

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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.