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Finding the Fourth Proportional to 3,105.95, 4,659.12 and 1,257.42

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Solution

The fourth proportional to 3,105.95, 4,659.12 and 1,257.42 is: 1,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.95 : 4,659.12 = 1,257.42 : x
  2. Step 2: Convert to fraction form
    3,105.95/4,659.12 = 1,257.42/x
  3. Step 3: Cross multiply
    3,105.95x = 4,659.12 × 1,257.42
  4. Step 4: Simplify right side
    3,105.95x = 5,858,488.14
  5. Step 5: Solve for x
    x = 5,858,488.14/3,105.95
  6. Step 6: Final answer
    x = 1,886.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.