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Finding the Fourth Proportional to 2,504.98, 3,757.74 and 861.33

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Solution

The fourth proportional to 2,504.98, 3,757.74 and 861.33 is: 1,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.98 : 3,757.74 = 861.33 : x
  2. Step 2: Convert to fraction form
    2,504.98/3,757.74 = 861.33/x
  3. Step 3: Cross multiply
    2,504.98x = 3,757.74 × 861.33
  4. Step 4: Simplify right side
    2,504.98x = 3,236,649.89
  5. Step 5: Solve for x
    x = 3,236,649.89/2,504.98
  6. Step 6: Final answer
    x = 1,292.09

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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.