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Finding the Fourth Proportional to 2,226.85, 3,073.02 and 1,232.20

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Solution

The fourth proportional to 2,226.85, 3,073.02 and 1,232.20 is: 1,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.85 : 3,073.02 = 1,232.20 : x
  2. Step 2: Convert to fraction form
    2,226.85/3,073.02 = 1,232.20/x
  3. Step 3: Cross multiply
    2,226.85x = 3,073.02 × 1,232.20
  4. Step 4: Simplify right side
    2,226.85x = 3,786,575.24
  5. Step 5: Solve for x
    x = 3,786,575.24/2,226.85
  6. Step 6: Final answer
    x = 1,700.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.