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Finding the Fourth Proportional to 2,453.50, 3,680.26 and 629.50

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Solution

The fourth proportional to 2,453.50, 3,680.26 and 629.50 is: 944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.50 : 3,680.26 = 629.50 : x
  2. Step 2: Convert to fraction form
    2,453.50/3,680.26 = 629.50/x
  3. Step 3: Cross multiply
    2,453.50x = 3,680.26 × 629.50
  4. Step 4: Simplify right side
    2,453.50x = 2,316,723.67
  5. Step 5: Solve for x
    x = 2,316,723.67/2,453.50
  6. Step 6: Final answer
    x = 944.25

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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.