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Finding the Fourth Proportional to 2,409.75, 3,614.87 and 766.55

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Solution

The fourth proportional to 2,409.75, 3,614.87 and 766.55 is: 1,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.75 : 3,614.87 = 766.55 : x
  2. Step 2: Convert to fraction form
    2,409.75/3,614.87 = 766.55/x
  3. Step 3: Cross multiply
    2,409.75x = 3,614.87 × 766.55
  4. Step 4: Simplify right side
    2,409.75x = 2,770,956.69
  5. Step 5: Solve for x
    x = 2,770,956.69/2,409.75
  6. Step 6: Final answer
    x = 1,149.89

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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.