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Finding the Fourth Proportional to 3,205.82, 4,811.46 and 1,259.38

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Solution

The fourth proportional to 3,205.82, 4,811.46 and 1,259.38 is: 1,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.82 : 4,811.46 = 1,259.38 : x
  2. Step 2: Convert to fraction form
    3,205.82/4,811.46 = 1,259.38/x
  3. Step 3: Cross multiply
    3,205.82x = 4,811.46 × 1,259.38
  4. Step 4: Simplify right side
    3,205.82x = 6,059,456.49
  5. Step 5: Solve for x
    x = 6,059,456.49/3,205.82
  6. Step 6: Final answer
    x = 1,890.14

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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.