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Finding the Fourth Proportional to 2,454.97, 3,682.46 and 1,428.25

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Solution

The fourth proportional to 2,454.97, 3,682.46 and 1,428.25 is: 2,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.97 : 3,682.46 = 1,428.25 : x
  2. Step 2: Convert to fraction form
    2,454.97/3,682.46 = 1,428.25/x
  3. Step 3: Cross multiply
    2,454.97x = 3,682.46 × 1,428.25
  4. Step 4: Simplify right side
    2,454.97x = 5,259,466.35
  5. Step 5: Solve for x
    x = 5,259,466.35/2,454.97
  6. Step 6: Final answer
    x = 2,142.38

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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.