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Finding the Fourth Proportional to 3,028.75, 4,180.02 and 1,684.49

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Solution

The fourth proportional to 3,028.75, 4,180.02 and 1,684.49 is: 2,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.75 : 4,180.02 = 1,684.49 : x
  2. Step 2: Convert to fraction form
    3,028.75/4,180.02 = 1,684.49/x
  3. Step 3: Cross multiply
    3,028.75x = 4,180.02 × 1,684.49
  4. Step 4: Simplify right side
    3,028.75x = 7,041,193.47
  5. Step 5: Solve for x
    x = 7,041,193.47/3,028.75
  6. Step 6: Final answer
    x = 2,324.79

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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.