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Finding the Fourth Proportional to 1,672.75, 2,509.69 and 633.05

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Solution

The fourth proportional to 1,672.75, 2,509.69 and 633.05 is: 949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.75 : 2,509.69 = 633.05 : x
  2. Step 2: Convert to fraction form
    1,672.75/2,509.69 = 633.05/x
  3. Step 3: Cross multiply
    1,672.75x = 2,509.69 × 633.05
  4. Step 4: Simplify right side
    1,672.75x = 1,588,745.12
  5. Step 5: Solve for x
    x = 1,588,745.12/1,672.75
  6. Step 6: Final answer
    x = 949.78

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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.