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Finding the Fourth Proportional to 2,939.60, 4,409.40 and 965.23

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Solution

The fourth proportional to 2,939.60, 4,409.40 and 965.23 is: 1,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.60 : 4,409.40 = 965.23 : x
  2. Step 2: Convert to fraction form
    2,939.60/4,409.40 = 965.23/x
  3. Step 3: Cross multiply
    2,939.60x = 4,409.40 × 965.23
  4. Step 4: Simplify right side
    2,939.60x = 4,256,085.16
  5. Step 5: Solve for x
    x = 4,256,085.16/2,939.60
  6. Step 6: Final answer
    x = 1,447.85

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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.