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Finding the Fourth Proportional to 2,324.42, 3,486.70 and 680.97

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Solution

The fourth proportional to 2,324.42, 3,486.70 and 680.97 is: 1,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.42 : 3,486.70 = 680.97 : x
  2. Step 2: Convert to fraction form
    2,324.42/3,486.70 = 680.97/x
  3. Step 3: Cross multiply
    2,324.42x = 3,486.70 × 680.97
  4. Step 4: Simplify right side
    2,324.42x = 2,374,337.67
  5. Step 5: Solve for x
    x = 2,374,337.67/2,324.42
  6. Step 6: Final answer
    x = 1,021.47

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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.