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Finding the Fourth Proportional to 2,494.32, 3,741.34 and 762.94

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Solution

The fourth proportional to 2,494.32, 3,741.34 and 762.94 is: 1,144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.32 : 3,741.34 = 762.94 : x
  2. Step 2: Convert to fraction form
    2,494.32/3,741.34 = 762.94/x
  3. Step 3: Cross multiply
    2,494.32x = 3,741.34 × 762.94
  4. Step 4: Simplify right side
    2,494.32x = 2,854,422.14
  5. Step 5: Solve for x
    x = 2,854,422.14/2,494.32
  6. Step 6: Final answer
    x = 1,144.37

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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.