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Finding the Fourth Proportional to 2,968.54, 4,095.98 and 1,789.68

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Solution

The fourth proportional to 2,968.54, 4,095.98 and 1,789.68 is: 2,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.54 : 4,095.98 = 1,789.68 : x
  2. Step 2: Convert to fraction form
    2,968.54/4,095.98 = 1,789.68/x
  3. Step 3: Cross multiply
    2,968.54x = 4,095.98 × 1,789.68
  4. Step 4: Simplify right side
    2,968.54x = 7,330,493.49
  5. Step 5: Solve for x
    x = 7,330,493.49/2,968.54
  6. Step 6: Final answer
    x = 2,469.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.