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Finding the Fourth Proportional to 3,228.74, 4,454.97 and 2,111.31

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Solution

The fourth proportional to 3,228.74, 4,454.97 and 2,111.31 is: 2,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.74 : 4,454.97 = 2,111.31 : x
  2. Step 2: Convert to fraction form
    3,228.74/4,454.97 = 2,111.31/x
  3. Step 3: Cross multiply
    3,228.74x = 4,454.97 × 2,111.31
  4. Step 4: Simplify right side
    3,228.74x = 9,405,800.44
  5. Step 5: Solve for x
    x = 9,405,800.44/3,228.74
  6. Step 6: Final answer
    x = 2,913.15

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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.