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Finding the Fourth Proportional to 3,204.41, 4,802.85 and 1,447.37

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Solution

The fourth proportional to 3,204.41, 4,802.85 and 1,447.37 is: 2,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.41 : 4,802.85 = 1,447.37 : x
  2. Step 2: Convert to fraction form
    3,204.41/4,802.85 = 1,447.37/x
  3. Step 3: Cross multiply
    3,204.41x = 4,802.85 × 1,447.37
  4. Step 4: Simplify right side
    3,204.41x = 6,951,476.99
  5. Step 5: Solve for x
    x = 6,951,476.99/3,204.41
  6. Step 6: Final answer
    x = 2,169.35

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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.