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Finding the Fourth Proportional to 2,832.48, 4,249.46 and 884.60

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Solution

The fourth proportional to 2,832.48, 4,249.46 and 884.60 is: 1,327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.48 : 4,249.46 = 884.60 : x
  2. Step 2: Convert to fraction form
    2,832.48/4,249.46 = 884.60/x
  3. Step 3: Cross multiply
    2,832.48x = 4,249.46 × 884.60
  4. Step 4: Simplify right side
    2,832.48x = 3,759,072.32
  5. Step 5: Solve for x
    x = 3,759,072.32/2,832.48
  6. Step 6: Final answer
    x = 1,327.13

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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.