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Finding the Fourth Proportional to 1,729.70, 2,380.94 and 1,508.26

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Solution

The fourth proportional to 1,729.70, 2,380.94 and 1,508.26 is: 2,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.70 : 2,380.94 = 1,508.26 : x
  2. Step 2: Convert to fraction form
    1,729.70/2,380.94 = 1,508.26/x
  3. Step 3: Cross multiply
    1,729.70x = 2,380.94 × 1,508.26
  4. Step 4: Simplify right side
    1,729.70x = 3,591,076.56
  5. Step 5: Solve for x
    x = 3,591,076.56/1,729.70
  6. Step 6: Final answer
    x = 2,076.13

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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.