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Finding the Fourth Proportional to 2,833.40, 4,249.49 and 884.54

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Solution

The fourth proportional to 2,833.40, 4,249.49 and 884.54 is: 1,326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.40 : 4,249.49 = 884.54 : x
  2. Step 2: Convert to fraction form
    2,833.40/4,249.49 = 884.54/x
  3. Step 3: Cross multiply
    2,833.40x = 4,249.49 × 884.54
  4. Step 4: Simplify right side
    2,833.40x = 3,758,846.10
  5. Step 5: Solve for x
    x = 3,758,846.10/2,833.40
  6. Step 6: Final answer
    x = 1,326.62

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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.