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Finding the Fourth Proportional to 2,665.46, 3,997.74 and 717.23

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Solution

The fourth proportional to 2,665.46, 3,997.74 and 717.23 is: 1,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.46 : 3,997.74 = 717.23 : x
  2. Step 2: Convert to fraction form
    2,665.46/3,997.74 = 717.23/x
  3. Step 3: Cross multiply
    2,665.46x = 3,997.74 × 717.23
  4. Step 4: Simplify right side
    2,665.46x = 2,867,299.06
  5. Step 5: Solve for x
    x = 2,867,299.06/2,665.46
  6. Step 6: Final answer
    x = 1,075.72

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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.