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Finding the Fourth Proportional to 3,228.63, 4,456.23 and 2,049.48

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Solution

The fourth proportional to 3,228.63, 4,456.23 and 2,049.48 is: 2,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.63 : 4,456.23 = 2,049.48 : x
  2. Step 2: Convert to fraction form
    3,228.63/4,456.23 = 2,049.48/x
  3. Step 3: Cross multiply
    3,228.63x = 4,456.23 × 2,049.48
  4. Step 4: Simplify right side
    3,228.63x = 9,132,954.26
  5. Step 5: Solve for x
    x = 9,132,954.26/3,228.63
  6. Step 6: Final answer
    x = 2,828.74

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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.