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Finding the Fourth Proportional to 2,452.84, 3,679.08 and 2,182

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Solution

The fourth proportional to 2,452.84, 3,679.08 and 2,182 is: 3,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.84 : 3,679.08 = 2,182 : x
  2. Step 2: Convert to fraction form
    2,452.84/3,679.08 = 2,182/x
  3. Step 3: Cross multiply
    2,452.84x = 3,679.08 × 2,182
  4. Step 4: Simplify right side
    2,452.84x = 8,027,752.56
  5. Step 5: Solve for x
    x = 8,027,752.56/2,452.84
  6. Step 6: Final answer
    x = 3,272.84

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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.