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Finding the Fourth Proportional to 2,621.53, 3,932.34 and 673.69

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Solution

The fourth proportional to 2,621.53, 3,932.34 and 673.69 is: 1,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.53 : 3,932.34 = 673.69 : x
  2. Step 2: Convert to fraction form
    2,621.53/3,932.34 = 673.69/x
  3. Step 3: Cross multiply
    2,621.53x = 3,932.34 × 673.69
  4. Step 4: Simplify right side
    2,621.53x = 2,649,178.13
  5. Step 5: Solve for x
    x = 2,649,178.13/2,621.53
  6. Step 6: Final answer
    x = 1,010.55

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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.