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Finding the Fourth Proportional to 3,205.69, 4,804.58 and 2,276.21

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Solution

The fourth proportional to 3,205.69, 4,804.58 and 2,276.21 is: 3,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.69 : 4,804.58 = 2,276.21 : x
  2. Step 2: Convert to fraction form
    3,205.69/4,804.58 = 2,276.21/x
  3. Step 3: Cross multiply
    3,205.69x = 4,804.58 × 2,276.21
  4. Step 4: Simplify right side
    3,205.69x = 10,936,250.74
  5. Step 5: Solve for x
    x = 10,936,250.74/3,205.69
  6. Step 6: Final answer
    x = 3,411.51

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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.