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Finding the Fourth Proportional to 2,028.46, 3,028.02 and 1,782.43

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Solution

The fourth proportional to 2,028.46, 3,028.02 and 1,782.43 is: 2,660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.46 : 3,028.02 = 1,782.43 : x
  2. Step 2: Convert to fraction form
    2,028.46/3,028.02 = 1,782.43/x
  3. Step 3: Cross multiply
    2,028.46x = 3,028.02 × 1,782.43
  4. Step 4: Simplify right side
    2,028.46x = 5,397,218.55
  5. Step 5: Solve for x
    x = 5,397,218.55/2,028.46
  6. Step 6: Final answer
    x = 2,660.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.