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Finding the Fourth Proportional to 3,249.66, 4,870.60 and 1,863.96

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Solution

The fourth proportional to 3,249.66, 4,870.60 and 1,863.96 is: 2,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.66 : 4,870.60 = 1,863.96 : x
  2. Step 2: Convert to fraction form
    3,249.66/4,870.60 = 1,863.96/x
  3. Step 3: Cross multiply
    3,249.66x = 4,870.60 × 1,863.96
  4. Step 4: Simplify right side
    3,249.66x = 9,078,603.58
  5. Step 5: Solve for x
    x = 9,078,603.58/3,249.66
  6. Step 6: Final answer
    x = 2,793.71

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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.