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Finding the Fourth Proportional to 2,106.82, 3,160.85 and 626.09

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Solution

The fourth proportional to 2,106.82, 3,160.85 and 626.09 is: 939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.82 : 3,160.85 = 626.09 : x
  2. Step 2: Convert to fraction form
    2,106.82/3,160.85 = 626.09/x
  3. Step 3: Cross multiply
    2,106.82x = 3,160.85 × 626.09
  4. Step 4: Simplify right side
    2,106.82x = 1,978,972.25
  5. Step 5: Solve for x
    x = 1,978,972.25/2,106.82
  6. Step 6: Final answer
    x = 939.32

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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.