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Finding the Fourth Proportional to 2,409.86, 3,614.46 and 766.57

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Solution

The fourth proportional to 2,409.86, 3,614.46 and 766.57 is: 1,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.86 : 3,614.46 = 766.57 : x
  2. Step 2: Convert to fraction form
    2,409.86/3,614.46 = 766.57/x
  3. Step 3: Cross multiply
    2,409.86x = 3,614.46 × 766.57
  4. Step 4: Simplify right side
    2,409.86x = 2,770,736.60
  5. Step 5: Solve for x
    x = 2,770,736.60/2,409.86
  6. Step 6: Final answer
    x = 1,149.75

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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.