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Finding the Fourth Proportional to 2,226.79, 3,073.16 and 1,232.38

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Solution

The fourth proportional to 2,226.79, 3,073.16 and 1,232.38 is: 1,700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.79 : 3,073.16 = 1,232.38 : x
  2. Step 2: Convert to fraction form
    2,226.79/3,073.16 = 1,232.38/x
  3. Step 3: Cross multiply
    2,226.79x = 3,073.16 × 1,232.38
  4. Step 4: Simplify right side
    2,226.79x = 3,787,300.92
  5. Step 5: Solve for x
    x = 3,787,300.92/2,226.79
  6. Step 6: Final answer
    x = 1,700.79

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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.