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Finding the Fourth Proportional to 2,406.35, 3,609.62 and 762.86

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Solution

The fourth proportional to 2,406.35, 3,609.62 and 762.86 is: 1,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.35 : 3,609.62 = 762.86 : x
  2. Step 2: Convert to fraction form
    2,406.35/3,609.62 = 762.86/x
  3. Step 3: Cross multiply
    2,406.35x = 3,609.62 × 762.86
  4. Step 4: Simplify right side
    2,406.35x = 2,753,612.85
  5. Step 5: Solve for x
    x = 2,753,612.85/2,406.35
  6. Step 6: Final answer
    x = 1,144.31

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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.