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Finding the Fourth Proportional to 2,979.65, 4,112.03 and 1,984.25

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Solution

The fourth proportional to 2,979.65, 4,112.03 and 1,984.25 is: 2,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.65 : 4,112.03 = 1,984.25 : x
  2. Step 2: Convert to fraction form
    2,979.65/4,112.03 = 1,984.25/x
  3. Step 3: Cross multiply
    2,979.65x = 4,112.03 × 1,984.25
  4. Step 4: Simplify right side
    2,979.65x = 8,159,310.77
  5. Step 5: Solve for x
    x = 8,159,310.77/2,979.65
  6. Step 6: Final answer
    x = 2,738.34

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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.