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Finding the Fourth Proportional to 2,409.90, 3,614.84 and 766.44

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Solution

The fourth proportional to 2,409.90, 3,614.84 and 766.44 is: 1,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.90 : 3,614.84 = 766.44 : x
  2. Step 2: Convert to fraction form
    2,409.90/3,614.84 = 766.44/x
  3. Step 3: Cross multiply
    2,409.90x = 3,614.84 × 766.44
  4. Step 4: Simplify right side
    2,409.90x = 2,770,557.97
  5. Step 5: Solve for x
    x = 2,770,557.97/2,409.90
  6. Step 6: Final answer
    x = 1,149.66

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1.5x scale

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.