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Finding the Fourth Proportional to 2,640.06, 3,950.34 and 2,173.50

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Solution

The fourth proportional to 2,640.06, 3,950.34 and 2,173.50 is: 3,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.06 : 3,950.34 = 2,173.50 : x
  2. Step 2: Convert to fraction form
    2,640.06/3,950.34 = 2,173.50/x
  3. Step 3: Cross multiply
    2,640.06x = 3,950.34 × 2,173.50
  4. Step 4: Simplify right side
    2,640.06x = 8,586,063.99
  5. Step 5: Solve for x
    x = 8,586,063.99/2,640.06
  6. Step 6: Final answer
    x = 3,252.22

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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.