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Finding the Fourth Proportional to 2,858, 4,287.16 and 806.16

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Solution

The fourth proportional to 2,858, 4,287.16 and 806.16 is: 1,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858 : 4,287.16 = 806.16 : x
  2. Step 2: Convert to fraction form
    2,858/4,287.16 = 806.16/x
  3. Step 3: Cross multiply
    2,858x = 4,287.16 × 806.16
  4. Step 4: Simplify right side
    2,858x = 3,456,136.91
  5. Step 5: Solve for x
    x = 3,456,136.91/2,858
  6. Step 6: Final answer
    x = 1,209.29

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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.