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Finding the Fourth Proportional to 2,504.63, 3,757.12 and 862.33

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Solution

The fourth proportional to 2,504.63, 3,757.12 and 862.33 is: 1,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.63 : 3,757.12 = 862.33 : x
  2. Step 2: Convert to fraction form
    2,504.63/3,757.12 = 862.33/x
  3. Step 3: Cross multiply
    2,504.63x = 3,757.12 × 862.33
  4. Step 4: Simplify right side
    2,504.63x = 3,239,877.29
  5. Step 5: Solve for x
    x = 3,239,877.29/2,504.63
  6. Step 6: Final answer
    x = 1,293.56

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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.