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Finding the Fourth Proportional to 2,141.50, 3,212.22 and 1,269.99

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Solution

The fourth proportional to 2,141.50, 3,212.22 and 1,269.99 is: 1,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.50 : 3,212.22 = 1,269.99 : x
  2. Step 2: Convert to fraction form
    2,141.50/3,212.22 = 1,269.99/x
  3. Step 3: Cross multiply
    2,141.50x = 3,212.22 × 1,269.99
  4. Step 4: Simplify right side
    2,141.50x = 4,079,487.28
  5. Step 5: Solve for x
    x = 4,079,487.28/2,141.50
  6. Step 6: Final answer
    x = 1,904.97

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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.