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Finding the Fourth Proportional to 2,109.22, 3,164.36 and 628.38

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Solution

The fourth proportional to 2,109.22, 3,164.36 and 628.38 is: 942.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.22 : 3,164.36 = 628.38 : x
  2. Step 2: Convert to fraction form
    2,109.22/3,164.36 = 628.38/x
  3. Step 3: Cross multiply
    2,109.22x = 3,164.36 × 628.38
  4. Step 4: Simplify right side
    2,109.22x = 1,988,417.39
  5. Step 5: Solve for x
    x = 1,988,417.39/2,109.22
  6. Step 6: Final answer
    x = 942.73

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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.