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Finding the Fourth Proportional to 2,716.75, 4,075.13 and 664.75

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Solution

The fourth proportional to 2,716.75, 4,075.13 and 664.75 is: 997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.75 : 4,075.13 = 664.75 : x
  2. Step 2: Convert to fraction form
    2,716.75/4,075.13 = 664.75/x
  3. Step 3: Cross multiply
    2,716.75x = 4,075.13 × 664.75
  4. Step 4: Simplify right side
    2,716.75x = 2,708,942.67
  5. Step 5: Solve for x
    x = 2,708,942.67/2,716.75
  6. Step 6: Final answer
    x = 997.13

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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.