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Finding the Fourth Proportional to 2,141.48, 3,212.29 and 581.48

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Solution

The fourth proportional to 2,141.48, 3,212.29 and 581.48 is: 872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.48 : 3,212.29 = 581.48 : x
  2. Step 2: Convert to fraction form
    2,141.48/3,212.29 = 581.48/x
  3. Step 3: Cross multiply
    2,141.48x = 3,212.29 × 581.48
  4. Step 4: Simplify right side
    2,141.48x = 1,867,864.87
  5. Step 5: Solve for x
    x = 1,867,864.87/2,141.48
  6. Step 6: Final answer
    x = 872.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.