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Finding the Fourth Proportional to 2,843.86, 4,265.92 and 896.21

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Solution

The fourth proportional to 2,843.86, 4,265.92 and 896.21 is: 1,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.86 : 4,265.92 = 896.21 : x
  2. Step 2: Convert to fraction form
    2,843.86/4,265.92 = 896.21/x
  3. Step 3: Cross multiply
    2,843.86x = 4,265.92 × 896.21
  4. Step 4: Simplify right side
    2,843.86x = 3,823,160.16
  5. Step 5: Solve for x
    x = 3,823,160.16/2,843.86
  6. Step 6: Final answer
    x = 1,344.36

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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.