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Finding the Fourth Proportional to 2,826.44, 3,901.46 and 1,648.49

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Solution

The fourth proportional to 2,826.44, 3,901.46 and 1,648.49 is: 2,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.44 : 3,901.46 = 1,648.49 : x
  2. Step 2: Convert to fraction form
    2,826.44/3,901.46 = 1,648.49/x
  3. Step 3: Cross multiply
    2,826.44x = 3,901.46 × 1,648.49
  4. Step 4: Simplify right side
    2,826.44x = 6,431,517.80
  5. Step 5: Solve for x
    x = 6,431,517.80/2,826.44
  6. Step 6: Final answer
    x = 2,275.48

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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.