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Finding the Fourth Proportional to 2,552.85, 3,827.84 and 886.20

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Solution

The fourth proportional to 2,552.85, 3,827.84 and 886.20 is: 1,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.85 : 3,827.84 = 886.20 : x
  2. Step 2: Convert to fraction form
    2,552.85/3,827.84 = 886.20/x
  3. Step 3: Cross multiply
    2,552.85x = 3,827.84 × 886.20
  4. Step 4: Simplify right side
    2,552.85x = 3,392,213.02
  5. Step 5: Solve for x
    x = 3,392,213.02/2,552.85
  6. Step 6: Final answer
    x = 1,328.79

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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.