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Finding the Fourth Proportional to 2,226.88, 3,073.10 and 1,232.22

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Solution

The fourth proportional to 2,226.88, 3,073.10 and 1,232.22 is: 1,700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.88 : 3,073.10 = 1,232.22 : x
  2. Step 2: Convert to fraction form
    2,226.88/3,073.10 = 1,232.22/x
  3. Step 3: Cross multiply
    2,226.88x = 3,073.10 × 1,232.22
  4. Step 4: Simplify right side
    2,226.88x = 3,786,735.28
  5. Step 5: Solve for x
    x = 3,786,735.28/2,226.88
  6. Step 6: Final answer
    x = 1,700.47

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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.