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Finding the Fourth Proportional to 2,408.74, 3,612.77 and 765.45

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Solution

The fourth proportional to 2,408.74, 3,612.77 and 765.45 is: 1,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.74 : 3,612.77 = 765.45 : x
  2. Step 2: Convert to fraction form
    2,408.74/3,612.77 = 765.45/x
  3. Step 3: Cross multiply
    2,408.74x = 3,612.77 × 765.45
  4. Step 4: Simplify right side
    2,408.74x = 2,765,394.80
  5. Step 5: Solve for x
    x = 2,765,394.80/2,408.74
  6. Step 6: Final answer
    x = 1,148.07

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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.