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Finding the Fourth Proportional to 2,504.97, 3,453.46 and 1,665.72

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Solution

The fourth proportional to 2,504.97, 3,453.46 and 1,665.72 is: 2,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.97 : 3,453.46 = 1,665.72 : x
  2. Step 2: Convert to fraction form
    2,504.97/3,453.46 = 1,665.72/x
  3. Step 3: Cross multiply
    2,504.97x = 3,453.46 × 1,665.72
  4. Step 4: Simplify right side
    2,504.97x = 5,752,493.23
  5. Step 5: Solve for x
    x = 5,752,493.23/2,504.97
  6. Step 6: Final answer
    x = 2,296.43

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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.