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Finding the Fourth Proportional to 2,664.66, 3,997.23 and 716.82

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Solution

The fourth proportional to 2,664.66, 3,997.23 and 716.82 is: 1,075.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.66 : 3,997.23 = 716.82 : x
  2. Step 2: Convert to fraction form
    2,664.66/3,997.23 = 716.82/x
  3. Step 3: Cross multiply
    2,664.66x = 3,997.23 × 716.82
  4. Step 4: Simplify right side
    2,664.66x = 2,865,294.41
  5. Step 5: Solve for x
    x = 2,865,294.41/2,664.66
  6. Step 6: Final answer
    x = 1,075.29

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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.