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Finding the Fourth Proportional to 2,954.97, 4,452.78 and 2,446.41

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Solution

The fourth proportional to 2,954.97, 4,452.78 and 2,446.41 is: 3,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.97 : 4,452.78 = 2,446.41 : x
  2. Step 2: Convert to fraction form
    2,954.97/4,452.78 = 2,446.41/x
  3. Step 3: Cross multiply
    2,954.97x = 4,452.78 × 2,446.41
  4. Step 4: Simplify right side
    2,954.97x = 10,893,325.52
  5. Step 5: Solve for x
    x = 10,893,325.52/2,954.97
  6. Step 6: Final answer
    x = 3,686.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.