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Finding the Fourth Proportional to 3,295.26, 4,546.80 and 1,969.56

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Solution

The fourth proportional to 3,295.26, 4,546.80 and 1,969.56 is: 2,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.26 : 4,546.80 = 1,969.56 : x
  2. Step 2: Convert to fraction form
    3,295.26/4,546.80 = 1,969.56/x
  3. Step 3: Cross multiply
    3,295.26x = 4,546.80 × 1,969.56
  4. Step 4: Simplify right side
    3,295.26x = 8,955,195.41
  5. Step 5: Solve for x
    x = 8,955,195.41/3,295.26
  6. Step 6: Final answer
    x = 2,717.60

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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.