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Finding the Fourth Proportional to 2,269.42, 3,401.28 and 969.36

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Solution

The fourth proportional to 2,269.42, 3,401.28 and 969.36 is: 1,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.42 : 3,401.28 = 969.36 : x
  2. Step 2: Convert to fraction form
    2,269.42/3,401.28 = 969.36/x
  3. Step 3: Cross multiply
    2,269.42x = 3,401.28 × 969.36
  4. Step 4: Simplify right side
    2,269.42x = 3,297,064.78
  5. Step 5: Solve for x
    x = 3,297,064.78/2,269.42
  6. Step 6: Final answer
    x = 1,452.82

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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.