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Finding the Fourth Proportional to 2,141.46, 3,212.33 and 660.50

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Solution

The fourth proportional to 2,141.46, 3,212.33 and 660.50 is: 990.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.46 : 3,212.33 = 660.50 : x
  2. Step 2: Convert to fraction form
    2,141.46/3,212.33 = 660.50/x
  3. Step 3: Cross multiply
    2,141.46x = 3,212.33 × 660.50
  4. Step 4: Simplify right side
    2,141.46x = 2,121,743.97
  5. Step 5: Solve for x
    x = 2,121,743.97/2,141.46
  6. Step 6: Final answer
    x = 990.79

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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.