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Finding the Fourth Proportional to 2,489.06, 3,735.11 and 1,028.02

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Solution

The fourth proportional to 2,489.06, 3,735.11 and 1,028.02 is: 1,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.06 : 3,735.11 = 1,028.02 : x
  2. Step 2: Convert to fraction form
    2,489.06/3,735.11 = 1,028.02/x
  3. Step 3: Cross multiply
    2,489.06x = 3,735.11 × 1,028.02
  4. Step 4: Simplify right side
    2,489.06x = 3,839,775.63
  5. Step 5: Solve for x
    x = 3,839,775.63/2,489.06
  6. Step 6: Final answer
    x = 1,542.66

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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.