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Finding the Fourth Proportional to 2,523.63, 3,786.26 and 963.57

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Solution

The fourth proportional to 2,523.63, 3,786.26 and 963.57 is: 1,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.63 : 3,786.26 = 963.57 : x
  2. Step 2: Convert to fraction form
    2,523.63/3,786.26 = 963.57/x
  3. Step 3: Cross multiply
    2,523.63x = 3,786.26 × 963.57
  4. Step 4: Simplify right side
    2,523.63x = 3,648,321.73
  5. Step 5: Solve for x
    x = 3,648,321.73/2,523.63
  6. Step 6: Final answer
    x = 1,445.66

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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.