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Finding the Fourth Proportional to 1,735.30, 2,601.60 and 965.80

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Solution

The fourth proportional to 1,735.30, 2,601.60 and 965.80 is: 1,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.30 : 2,601.60 = 965.80 : x
  2. Step 2: Convert to fraction form
    1,735.30/2,601.60 = 965.80/x
  3. Step 3: Cross multiply
    1,735.30x = 2,601.60 × 965.80
  4. Step 4: Simplify right side
    1,735.30x = 2,512,625.28
  5. Step 5: Solve for x
    x = 2,512,625.28/1,735.30
  6. Step 6: Final answer
    x = 1,447.95

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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.