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Finding the Fourth Proportional to 2,858.25, 4,287.62 and 806.25

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Solution

The fourth proportional to 2,858.25, 4,287.62 and 806.25 is: 1,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.25 : 4,287.62 = 806.25 : x
  2. Step 2: Convert to fraction form
    2,858.25/4,287.62 = 806.25/x
  3. Step 3: Cross multiply
    2,858.25x = 4,287.62 × 806.25
  4. Step 4: Simplify right side
    2,858.25x = 3,456,889.59
  5. Step 5: Solve for x
    x = 3,456,889.59/2,858.25
  6. Step 6: Final answer
    x = 1,209.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.