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Finding the Fourth Proportional to 2,154, 3,231.06 and 693.30

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Solution

The fourth proportional to 2,154, 3,231.06 and 693.30 is: 1,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154 : 3,231.06 = 693.30 : x
  2. Step 2: Convert to fraction form
    2,154/3,231.06 = 693.30/x
  3. Step 3: Cross multiply
    2,154x = 3,231.06 × 693.30
  4. Step 4: Simplify right side
    2,154x = 2,240,093.90
  5. Step 5: Solve for x
    x = 2,240,093.90/2,154
  6. Step 6: Final answer
    x = 1,039.97

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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.