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Finding the Fourth Proportional to 2,665.12, 3,997.12 and 717.34

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Solution

The fourth proportional to 2,665.12, 3,997.12 and 717.34 is: 1,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.12 : 3,997.12 = 717.34 : x
  2. Step 2: Convert to fraction form
    2,665.12/3,997.12 = 717.34/x
  3. Step 3: Cross multiply
    2,665.12x = 3,997.12 × 717.34
  4. Step 4: Simplify right side
    2,665.12x = 2,867,294.06
  5. Step 5: Solve for x
    x = 2,867,294.06/2,665.12
  6. Step 6: Final answer
    x = 1,075.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.