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Finding the Fourth Proportional to 2,226.96, 3,073.16 and 1,232.21

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Solution

The fourth proportional to 2,226.96, 3,073.16 and 1,232.21 is: 1,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.96 : 3,073.16 = 1,232.21 : x
  2. Step 2: Convert to fraction form
    2,226.96/3,073.16 = 1,232.21/x
  3. Step 3: Cross multiply
    2,226.96x = 3,073.16 × 1,232.21
  4. Step 4: Simplify right side
    2,226.96x = 3,786,778.48
  5. Step 5: Solve for x
    x = 3,786,778.48/2,226.96
  6. Step 6: Final answer
    x = 1,700.43

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