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Finding the Fourth Proportional to 2,494.62, 3,741.84 and 1,910.66

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Solution

The fourth proportional to 2,494.62, 3,741.84 and 1,910.66 is: 2,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.62 : 3,741.84 = 1,910.66 : x
  2. Step 2: Convert to fraction form
    2,494.62/3,741.84 = 1,910.66/x
  3. Step 3: Cross multiply
    2,494.62x = 3,741.84 × 1,910.66
  4. Step 4: Simplify right side
    2,494.62x = 7,149,365.31
  5. Step 5: Solve for x
    x = 7,149,365.31/2,494.62
  6. Step 6: Final answer
    x = 2,865.91

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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.