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Finding the Fourth Proportional to 3,106.96, 4,662 and 1,936.60

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Solution

The fourth proportional to 3,106.96, 4,662 and 1,936.60 is: 2,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.96 : 4,662 = 1,936.60 : x
  2. Step 2: Convert to fraction form
    3,106.96/4,662 = 1,936.60/x
  3. Step 3: Cross multiply
    3,106.96x = 4,662 × 1,936.60
  4. Step 4: Simplify right side
    3,106.96x = 9,028,429.20
  5. Step 5: Solve for x
    x = 9,028,429.20/3,106.96
  6. Step 6: Final answer
    x = 2,905.87

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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.