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Finding the Fourth Proportional to 1,979.73, 2,969.36 and 808.92

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Solution

The fourth proportional to 1,979.73, 2,969.36 and 808.92 is: 1,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.73 : 2,969.36 = 808.92 : x
  2. Step 2: Convert to fraction form
    1,979.73/2,969.36 = 808.92/x
  3. Step 3: Cross multiply
    1,979.73x = 2,969.36 × 808.92
  4. Step 4: Simplify right side
    1,979.73x = 2,401,970.65
  5. Step 5: Solve for x
    x = 2,401,970.65/1,979.73
  6. Step 6: Final answer
    x = 1,213.28

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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.