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Finding the Fourth Proportional to 1,629.40, 2,247.78 and 965.80

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Solution

The fourth proportional to 1,629.40, 2,247.78 and 965.80 is: 1,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.40 : 2,247.78 = 965.80 : x
  2. Step 2: Convert to fraction form
    1,629.40/2,247.78 = 965.80/x
  3. Step 3: Cross multiply
    1,629.40x = 2,247.78 × 965.80
  4. Step 4: Simplify right side
    1,629.40x = 2,170,905.92
  5. Step 5: Solve for x
    x = 2,170,905.92/1,629.40
  6. Step 6: Final answer
    x = 1,332.33

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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.