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Finding the Fourth Proportional to 2,266.76, 3,401.82 and 1,170.96

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Solution

The fourth proportional to 2,266.76, 3,401.82 and 1,170.96 is: 1,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.76 : 3,401.82 = 1,170.96 : x
  2. Step 2: Convert to fraction form
    2,266.76/3,401.82 = 1,170.96/x
  3. Step 3: Cross multiply
    2,266.76x = 3,401.82 × 1,170.96
  4. Step 4: Simplify right side
    2,266.76x = 3,983,395.15
  5. Step 5: Solve for x
    x = 3,983,395.15/2,266.76
  6. Step 6: Final answer
    x = 1,757.31

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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.