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Finding the Fourth Proportional to 2,324.98, 3,205.76 and 1,734.49

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Solution

The fourth proportional to 2,324.98, 3,205.76 and 1,734.49 is: 2,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.98 : 3,205.76 = 1,734.49 : x
  2. Step 2: Convert to fraction form
    2,324.98/3,205.76 = 1,734.49/x
  3. Step 3: Cross multiply
    2,324.98x = 3,205.76 × 1,734.49
  4. Step 4: Simplify right side
    2,324.98x = 5,560,341.98
  5. Step 5: Solve for x
    x = 5,560,341.98/2,324.98
  6. Step 6: Final answer
    x = 2,391.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.