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Finding the Fourth Proportional to 2,493.70, 3,741.36 and 851.29

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Solution

The fourth proportional to 2,493.70, 3,741.36 and 851.29 is: 1,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.70 : 3,741.36 = 851.29 : x
  2. Step 2: Convert to fraction form
    2,493.70/3,741.36 = 851.29/x
  3. Step 3: Cross multiply
    2,493.70x = 3,741.36 × 851.29
  4. Step 4: Simplify right side
    2,493.70x = 3,184,982.35
  5. Step 5: Solve for x
    x = 3,184,982.35/2,493.70
  6. Step 6: Final answer
    x = 1,277.21

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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.