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Finding the Fourth Proportional to 1,975, 2,962.52 and 676.48

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Solution

The fourth proportional to 1,975, 2,962.52 and 676.48 is: 1,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975 : 2,962.52 = 676.48 : x
  2. Step 2: Convert to fraction form
    1,975/2,962.52 = 676.48/x
  3. Step 3: Cross multiply
    1,975x = 2,962.52 × 676.48
  4. Step 4: Simplify right side
    1,975x = 2,004,082.15
  5. Step 5: Solve for x
    x = 2,004,082.15/1,975
  6. Step 6: Final answer
    x = 1,014.73

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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.