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Finding the Fourth Proportional to 3,078, 4,249.26 and 2,148.12

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Solution

The fourth proportional to 3,078, 4,249.26 and 2,148.12 is: 2,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078 : 4,249.26 = 2,148.12 : x
  2. Step 2: Convert to fraction form
    3,078/4,249.26 = 2,148.12/x
  3. Step 3: Cross multiply
    3,078x = 4,249.26 × 2,148.12
  4. Step 4: Simplify right side
    3,078x = 9,127,920.39
  5. Step 5: Solve for x
    x = 9,127,920.39/3,078
  6. Step 6: Final answer
    x = 2,965.54

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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.