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Finding the Fourth Proportional to 2,832.12, 4,247.99 and 884.33

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Solution

The fourth proportional to 2,832.12, 4,247.99 and 884.33 is: 1,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.12 : 4,247.99 = 884.33 : x
  2. Step 2: Convert to fraction form
    2,832.12/4,247.99 = 884.33/x
  3. Step 3: Cross multiply
    2,832.12x = 4,247.99 × 884.33
  4. Step 4: Simplify right side
    2,832.12x = 3,756,599.34
  5. Step 5: Solve for x
    x = 3,756,599.34/2,832.12
  6. Step 6: Final answer
    x = 1,326.43

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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.