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Finding the Fourth Proportional to 2,372.92, 3,274.68 and 1,324.96

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Solution

The fourth proportional to 2,372.92, 3,274.68 and 1,324.96 is: 1,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.92 : 3,274.68 = 1,324.96 : x
  2. Step 2: Convert to fraction form
    2,372.92/3,274.68 = 1,324.96/x
  3. Step 3: Cross multiply
    2,372.92x = 3,274.68 × 1,324.96
  4. Step 4: Simplify right side
    2,372.92x = 4,338,820.01
  5. Step 5: Solve for x
    x = 4,338,820.01/2,372.92
  6. Step 6: Final answer
    x = 1,828.47

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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.