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Finding the Fourth Proportional to 3,682.80, 5,524.20 and 1,834.20

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Solution

The fourth proportional to 3,682.80, 5,524.20 and 1,834.20 is: 2,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.80 : 5,524.20 = 1,834.20 : x
  2. Step 2: Convert to fraction form
    3,682.80/5,524.20 = 1,834.20/x
  3. Step 3: Cross multiply
    3,682.80x = 5,524.20 × 1,834.20
  4. Step 4: Simplify right side
    3,682.80x = 10,132,487.64
  5. Step 5: Solve for x
    x = 10,132,487.64/3,682.80
  6. Step 6: Final answer
    x = 2,751.30

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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.