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Finding the Fourth Proportional to 2,978.76, 4,112.46 and 1,932.78

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Solution

The fourth proportional to 2,978.76, 4,112.46 and 1,932.78 is: 2,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.76 : 4,112.46 = 1,932.78 : x
  2. Step 2: Convert to fraction form
    2,978.76/4,112.46 = 1,932.78/x
  3. Step 3: Cross multiply
    2,978.76x = 4,112.46 × 1,932.78
  4. Step 4: Simplify right side
    2,978.76x = 7,948,480.44
  5. Step 5: Solve for x
    x = 7,948,480.44/2,978.76
  6. Step 6: Final answer
    x = 2,668.39

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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.