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Finding the Fourth Proportional to 2,855.60, 3,940.22 and 1,596.26

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Solution

The fourth proportional to 2,855.60, 3,940.22 and 1,596.26 is: 2,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.60 : 3,940.22 = 1,596.26 : x
  2. Step 2: Convert to fraction form
    2,855.60/3,940.22 = 1,596.26/x
  3. Step 3: Cross multiply
    2,855.60x = 3,940.22 × 1,596.26
  4. Step 4: Simplify right side
    2,855.60x = 6,289,587.89
  5. Step 5: Solve for x
    x = 6,289,587.89/2,855.60
  6. Step 6: Final answer
    x = 2,202.55

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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.