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Finding the Fourth Proportional to 2,568.29, 3,853.63 and 813.57

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Solution

The fourth proportional to 2,568.29, 3,853.63 and 813.57 is: 1,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.29 : 3,853.63 = 813.57 : x
  2. Step 2: Convert to fraction form
    2,568.29/3,853.63 = 813.57/x
  3. Step 3: Cross multiply
    2,568.29x = 3,853.63 × 813.57
  4. Step 4: Simplify right side
    2,568.29x = 3,135,178.49
  5. Step 5: Solve for x
    x = 3,135,178.49/2,568.29
  6. Step 6: Final answer
    x = 1,220.73

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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.