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Finding the Fourth Proportional to 2,968.34, 4,096.31 and 1,922.22

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Solution

The fourth proportional to 2,968.34, 4,096.31 and 1,922.22 is: 2,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.34 : 4,096.31 = 1,922.22 : x
  2. Step 2: Convert to fraction form
    2,968.34/4,096.31 = 1,922.22/x
  3. Step 3: Cross multiply
    2,968.34x = 4,096.31 × 1,922.22
  4. Step 4: Simplify right side
    2,968.34x = 7,873,999.40
  5. Step 5: Solve for x
    x = 7,873,999.40/2,968.34
  6. Step 6: Final answer
    x = 2,652.67

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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.