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Finding the Fourth Proportional to 2,851.56, 3,922.82 and 2,326.44

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Solution

The fourth proportional to 2,851.56, 3,922.82 and 2,326.44 is: 3,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.56 : 3,922.82 = 2,326.44 : x
  2. Step 2: Convert to fraction form
    2,851.56/3,922.82 = 2,326.44/x
  3. Step 3: Cross multiply
    2,851.56x = 3,922.82 × 2,326.44
  4. Step 4: Simplify right side
    2,851.56x = 9,126,205.36
  5. Step 5: Solve for x
    x = 9,126,205.36/2,851.56
  6. Step 6: Final answer
    x = 3,200.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.