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Finding the Fourth Proportional to 1,979.83, 2,969.91 and 518.97

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Solution

The fourth proportional to 1,979.83, 2,969.91 and 518.97 is: 778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.83 : 2,969.91 = 518.97 : x
  2. Step 2: Convert to fraction form
    1,979.83/2,969.91 = 518.97/x
  3. Step 3: Cross multiply
    1,979.83x = 2,969.91 × 518.97
  4. Step 4: Simplify right side
    1,979.83x = 1,541,305.33
  5. Step 5: Solve for x
    x = 1,541,305.33/1,979.83
  6. Step 6: Final answer
    x = 778.50

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1.5x scale

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.