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Finding the Fourth Proportional to 3,205.74, 4,808.05 and 896.70

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Solution

The fourth proportional to 3,205.74, 4,808.05 and 896.70 is: 1,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.74 : 4,808.05 = 896.70 : x
  2. Step 2: Convert to fraction form
    3,205.74/4,808.05 = 896.70/x
  3. Step 3: Cross multiply
    3,205.74x = 4,808.05 × 896.70
  4. Step 4: Simplify right side
    3,205.74x = 4,311,378.44
  5. Step 5: Solve for x
    x = 4,311,378.44/3,205.74
  6. Step 6: Final answer
    x = 1,344.89

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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.