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Finding the Fourth Proportional to 2,286.77, 3,155.74 and 1,238.83

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Solution

The fourth proportional to 2,286.77, 3,155.74 and 1,238.83 is: 1,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.77 : 3,155.74 = 1,238.83 : x
  2. Step 2: Convert to fraction form
    2,286.77/3,155.74 = 1,238.83/x
  3. Step 3: Cross multiply
    2,286.77x = 3,155.74 × 1,238.83
  4. Step 4: Simplify right side
    2,286.77x = 3,909,425.38
  5. Step 5: Solve for x
    x = 3,909,425.38/2,286.77
  6. Step 6: Final answer
    x = 1,709.58

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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.