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Finding the Fourth Proportional to 2,408.52, 3,612.99 and 765.23

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Solution

The fourth proportional to 2,408.52, 3,612.99 and 765.23 is: 1,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.52 : 3,612.99 = 765.23 : x
  2. Step 2: Convert to fraction form
    2,408.52/3,612.99 = 765.23/x
  3. Step 3: Cross multiply
    2,408.52x = 3,612.99 × 765.23
  4. Step 4: Simplify right side
    2,408.52x = 2,764,768.34
  5. Step 5: Solve for x
    x = 2,764,768.34/2,408.52
  6. Step 6: Final answer
    x = 1,147.91

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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.