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Finding the Fourth Proportional to 2,805.63, 4,207.96 and 857.44

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Solution

The fourth proportional to 2,805.63, 4,207.96 and 857.44 is: 1,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.63 : 4,207.96 = 857.44 : x
  2. Step 2: Convert to fraction form
    2,805.63/4,207.96 = 857.44/x
  3. Step 3: Cross multiply
    2,805.63x = 4,207.96 × 857.44
  4. Step 4: Simplify right side
    2,805.63x = 3,608,073.22
  5. Step 5: Solve for x
    x = 3,608,073.22/2,805.63
  6. Step 6: Final answer
    x = 1,286.01

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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.