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Finding the Fourth Proportional to 1,986.24, 2,979.98 and 816.33

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Solution

The fourth proportional to 1,986.24, 2,979.98 and 816.33 is: 1,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.24 : 2,979.98 = 816.33 : x
  2. Step 2: Convert to fraction form
    1,986.24/2,979.98 = 816.33/x
  3. Step 3: Cross multiply
    1,986.24x = 2,979.98 × 816.33
  4. Step 4: Simplify right side
    1,986.24x = 2,432,642.99
  5. Step 5: Solve for x
    x = 2,432,642.99/1,986.24
  6. Step 6: Final answer
    x = 1,224.75

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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.