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Finding the Fourth Proportional to 2,610.01, 3,912.38 and 1,636.80

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Solution

The fourth proportional to 2,610.01, 3,912.38 and 1,636.80 is: 2,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.01 : 3,912.38 = 1,636.80 : x
  2. Step 2: Convert to fraction form
    2,610.01/3,912.38 = 1,636.80/x
  3. Step 3: Cross multiply
    2,610.01x = 3,912.38 × 1,636.80
  4. Step 4: Simplify right side
    2,610.01x = 6,403,764.02
  5. Step 5: Solve for x
    x = 6,403,764.02/2,610.01
  6. Step 6: Final answer
    x = 2,453.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.