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Finding the Fourth Proportional to 3,208.54, 4,811.78 and 1,234.06

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Solution

The fourth proportional to 3,208.54, 4,811.78 and 1,234.06 is: 1,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.54 : 4,811.78 = 1,234.06 : x
  2. Step 2: Convert to fraction form
    3,208.54/4,811.78 = 1,234.06/x
  3. Step 3: Cross multiply
    3,208.54x = 4,811.78 × 1,234.06
  4. Step 4: Simplify right side
    3,208.54x = 5,938,026.34
  5. Step 5: Solve for x
    x = 5,938,026.34/3,208.54
  6. Step 6: Final answer
    x = 1,850.70

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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.