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Finding the Fourth Proportional to 1,974.54, 2,961.60 and 725.31

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Solution

The fourth proportional to 1,974.54, 2,961.60 and 725.31 is: 1,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.54 : 2,961.60 = 725.31 : x
  2. Step 2: Convert to fraction form
    1,974.54/2,961.60 = 725.31/x
  3. Step 3: Cross multiply
    1,974.54x = 2,961.60 × 725.31
  4. Step 4: Simplify right side
    1,974.54x = 2,148,078.10
  5. Step 5: Solve for x
    x = 2,148,078.10/1,974.54
  6. Step 6: Final answer
    x = 1,087.89

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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.