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Finding the Fourth Proportional to 1,822.80, 2,481.60 and 1,806.60

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Solution

The fourth proportional to 1,822.80, 2,481.60 and 1,806.60 is: 2,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.80 : 2,481.60 = 1,806.60 : x
  2. Step 2: Convert to fraction form
    1,822.80/2,481.60 = 1,806.60/x
  3. Step 3: Cross multiply
    1,822.80x = 2,481.60 × 1,806.60
  4. Step 4: Simplify right side
    1,822.80x = 4,483,258.56
  5. Step 5: Solve for x
    x = 4,483,258.56/1,822.80
  6. Step 6: Final answer
    x = 2,459.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.