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Finding the Fourth Proportional to 3,204.54, 4,805.19 and 2,279.52

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Solution

The fourth proportional to 3,204.54, 4,805.19 and 2,279.52 is: 3,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.54 : 4,805.19 = 2,279.52 : x
  2. Step 2: Convert to fraction form
    3,204.54/4,805.19 = 2,279.52/x
  3. Step 3: Cross multiply
    3,204.54x = 4,805.19 × 2,279.52
  4. Step 4: Simplify right side
    3,204.54x = 10,953,526.71
  5. Step 5: Solve for x
    x = 10,953,526.71/3,204.54
  6. Step 6: Final answer
    x = 3,418.13

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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.