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Finding the Fourth Proportional to 2,104.50, 2,903.75 and 1,253.73

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Solution

The fourth proportional to 2,104.50, 2,903.75 and 1,253.73 is: 1,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.50 : 2,903.75 = 1,253.73 : x
  2. Step 2: Convert to fraction form
    2,104.50/2,903.75 = 1,253.73/x
  3. Step 3: Cross multiply
    2,104.50x = 2,903.75 × 1,253.73
  4. Step 4: Simplify right side
    2,104.50x = 3,640,512.22
  5. Step 5: Solve for x
    x = 3,640,512.22/2,104.50
  6. Step 6: Final answer
    x = 1,729.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.