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Finding the Fourth Proportional to 2,536.80, 3,800.24 and 2,261.60

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Solution

The fourth proportional to 2,536.80, 3,800.24 and 2,261.60 is: 3,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.80 : 3,800.24 = 2,261.60 : x
  2. Step 2: Convert to fraction form
    2,536.80/3,800.24 = 2,261.60/x
  3. Step 3: Cross multiply
    2,536.80x = 3,800.24 × 2,261.60
  4. Step 4: Simplify right side
    2,536.80x = 8,594,622.78
  5. Step 5: Solve for x
    x = 8,594,622.78/2,536.80
  6. Step 6: Final answer
    x = 3,387.98

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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.