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Finding the Fourth Proportional to 2,266.37, 3,401.00 and 967.83

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Solution

The fourth proportional to 2,266.37, 3,401.00 and 967.83 is: 1,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.37 : 3,401.00 = 967.83 : x
  2. Step 2: Convert to fraction form
    2,266.37/3,401.00 = 967.83/x
  3. Step 3: Cross multiply
    2,266.37x = 3,401.00 × 967.83
  4. Step 4: Simplify right side
    2,266.37x = 3,291,584.99
  5. Step 5: Solve for x
    x = 3,291,584.99/2,266.37
  6. Step 6: Final answer
    x = 1,452.36

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1.5x scale

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.