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Finding the Fourth Proportional to 2,496.32, 3,744.12 and 764.96

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Solution

The fourth proportional to 2,496.32, 3,744.12 and 764.96 is: 1,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.32 : 3,744.12 = 764.96 : x
  2. Step 2: Convert to fraction form
    2,496.32/3,744.12 = 764.96/x
  3. Step 3: Cross multiply
    2,496.32x = 3,744.12 × 764.96
  4. Step 4: Simplify right side
    2,496.32x = 2,864,102.04
  5. Step 5: Solve for x
    x = 2,864,102.04/2,496.32
  6. Step 6: Final answer
    x = 1,147.33

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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.