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Finding the Fourth Proportional to 2,504.97, 3,757.31 and 656.05

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Solution

The fourth proportional to 2,504.97, 3,757.31 and 656.05 is: 984.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.97 : 3,757.31 = 656.05 : x
  2. Step 2: Convert to fraction form
    2,504.97/3,757.31 = 656.05/x
  3. Step 3: Cross multiply
    2,504.97x = 3,757.31 × 656.05
  4. Step 4: Simplify right side
    2,504.97x = 2,464,972.19
  5. Step 5: Solve for x
    x = 2,464,972.19/2,504.97
  6. Step 6: Final answer
    x = 984.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.