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Finding the Fourth Proportional to 1,729.44, 2,385.90 and 1,205.78

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Solution

The fourth proportional to 1,729.44, 2,385.90 and 1,205.78 is: 1,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.44 : 2,385.90 = 1,205.78 : x
  2. Step 2: Convert to fraction form
    1,729.44/2,385.90 = 1,205.78/x
  3. Step 3: Cross multiply
    1,729.44x = 2,385.90 × 1,205.78
  4. Step 4: Simplify right side
    1,729.44x = 2,876,858.57
  5. Step 5: Solve for x
    x = 2,876,858.57/1,729.44
  6. Step 6: Final answer
    x = 1,663.46

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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.