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Finding the Fourth Proportional to 3,361.04, 4,636.77 and 2,099.90

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Solution

The fourth proportional to 3,361.04, 4,636.77 and 2,099.90 is: 2,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.04 : 4,636.77 = 2,099.90 : x
  2. Step 2: Convert to fraction form
    3,361.04/4,636.77 = 2,099.90/x
  3. Step 3: Cross multiply
    3,361.04x = 4,636.77 × 2,099.90
  4. Step 4: Simplify right side
    3,361.04x = 9,736,730.14
  5. Step 5: Solve for x
    x = 9,736,730.14/3,361.04
  6. Step 6: Final answer
    x = 2,896.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.