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Finding the Fourth Proportional to 2,968.54, 4,096.54 and 1,642.27

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Solution

The fourth proportional to 2,968.54, 4,096.54 and 1,642.27 is: 2,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.54 : 4,096.54 = 1,642.27 : x
  2. Step 2: Convert to fraction form
    2,968.54/4,096.54 = 1,642.27/x
  3. Step 3: Cross multiply
    2,968.54x = 4,096.54 × 1,642.27
  4. Step 4: Simplify right side
    2,968.54x = 6,727,624.75
  5. Step 5: Solve for x
    x = 6,727,624.75/2,968.54
  6. Step 6: Final answer
    x = 2,266.31

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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.