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Finding the Fourth Proportional to 2,628.25, 3,942.38 and 1,089.25

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Solution

The fourth proportional to 2,628.25, 3,942.38 and 1,089.25 is: 1,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.25 : 3,942.38 = 1,089.25 : x
  2. Step 2: Convert to fraction form
    2,628.25/3,942.38 = 1,089.25/x
  3. Step 3: Cross multiply
    2,628.25x = 3,942.38 × 1,089.25
  4. Step 4: Simplify right side
    2,628.25x = 4,294,237.42
  5. Step 5: Solve for x
    x = 4,294,237.42/2,628.25
  6. Step 6: Final answer
    x = 1,633.88

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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.