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Finding the Fourth Proportional to 3,204.09, 4,810.23 and 1,744.26

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Solution

The fourth proportional to 3,204.09, 4,810.23 and 1,744.26 is: 2,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.09 : 4,810.23 = 1,744.26 : x
  2. Step 2: Convert to fraction form
    3,204.09/4,810.23 = 1,744.26/x
  3. Step 3: Cross multiply
    3,204.09x = 4,810.23 × 1,744.26
  4. Step 4: Simplify right side
    3,204.09x = 8,390,291.78
  5. Step 5: Solve for x
    x = 8,390,291.78/3,204.09
  6. Step 6: Final answer
    x = 2,618.62

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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.