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Finding the Fourth Proportional to 2,286.54, 3,155.46 and 1,238.64

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Solution

The fourth proportional to 2,286.54, 3,155.46 and 1,238.64 is: 1,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.54 : 3,155.46 = 1,238.64 : x
  2. Step 2: Convert to fraction form
    2,286.54/3,155.46 = 1,238.64/x
  3. Step 3: Cross multiply
    2,286.54x = 3,155.46 × 1,238.64
  4. Step 4: Simplify right side
    2,286.54x = 3,908,478.97
  5. Step 5: Solve for x
    x = 3,908,478.97/2,286.54
  6. Step 6: Final answer
    x = 1,709.34

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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.