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Finding the Fourth Proportional to 2,141.45, 3,212.39 and 581.48

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Solution

The fourth proportional to 2,141.45, 3,212.39 and 581.48 is: 872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.45 : 3,212.39 = 581.48 : x
  2. Step 2: Convert to fraction form
    2,141.45/3,212.39 = 581.48/x
  3. Step 3: Cross multiply
    2,141.45x = 3,212.39 × 581.48
  4. Step 4: Simplify right side
    2,141.45x = 1,867,921.57
  5. Step 5: Solve for x
    x = 1,867,921.57/2,141.45
  6. Step 6: Final answer
    x = 872.27

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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.