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Finding the Fourth Proportional to 3,106.70, 4,662.78 and 2,620.09

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Solution

The fourth proportional to 3,106.70, 4,662.78 and 2,620.09 is: 3,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.70 : 4,662.78 = 2,620.09 : x
  2. Step 2: Convert to fraction form
    3,106.70/4,662.78 = 2,620.09/x
  3. Step 3: Cross multiply
    3,106.70x = 4,662.78 × 2,620.09
  4. Step 4: Simplify right side
    3,106.70x = 12,216,903.25
  5. Step 5: Solve for x
    x = 12,216,903.25/3,106.70
  6. Step 6: Final answer
    x = 3,932.44

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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.