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Finding the Fourth Proportional to 2,227.16, 3,073.43 and 1,232.42

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Solution

The fourth proportional to 2,227.16, 3,073.43 and 1,232.42 is: 1,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.16 : 3,073.43 = 1,232.42 : x
  2. Step 2: Convert to fraction form
    2,227.16/3,073.43 = 1,232.42/x
  3. Step 3: Cross multiply
    2,227.16x = 3,073.43 × 1,232.42
  4. Step 4: Simplify right side
    2,227.16x = 3,787,744.31
  5. Step 5: Solve for x
    x = 3,787,744.31/2,227.16
  6. Step 6: Final answer
    x = 1,700.70

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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.