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Finding the Fourth Proportional to 2,771.80, 4,157.42 and 825.24

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Solution

The fourth proportional to 2,771.80, 4,157.42 and 825.24 is: 1,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.80 : 4,157.42 = 825.24 : x
  2. Step 2: Convert to fraction form
    2,771.80/4,157.42 = 825.24/x
  3. Step 3: Cross multiply
    2,771.80x = 4,157.42 × 825.24
  4. Step 4: Simplify right side
    2,771.80x = 3,430,869.28
  5. Step 5: Solve for x
    x = 3,430,869.28/2,771.80
  6. Step 6: Final answer
    x = 1,237.78

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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.