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Finding the Fourth Proportional to 2,324.45, 3,487.15 and 680.86

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Solution

The fourth proportional to 2,324.45, 3,487.15 and 680.86 is: 1,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.45 : 3,487.15 = 680.86 : x
  2. Step 2: Convert to fraction form
    2,324.45/3,487.15 = 680.86/x
  3. Step 3: Cross multiply
    2,324.45x = 3,487.15 × 680.86
  4. Step 4: Simplify right side
    2,324.45x = 2,374,246.54
  5. Step 5: Solve for x
    x = 2,374,246.54/2,324.45
  6. Step 6: Final answer
    x = 1,021.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.