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Finding the Fourth Proportional to 2,372.92, 3,274.82 and 1,325.14

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Solution

The fourth proportional to 2,372.92, 3,274.82 and 1,325.14 is: 1,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.92 : 3,274.82 = 1,325.14 : x
  2. Step 2: Convert to fraction form
    2,372.92/3,274.82 = 1,325.14/x
  3. Step 3: Cross multiply
    2,372.92x = 3,274.82 × 1,325.14
  4. Step 4: Simplify right side
    2,372.92x = 4,339,594.97
  5. Step 5: Solve for x
    x = 4,339,594.97/2,372.92
  6. Step 6: Final answer
    x = 1,828.80

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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.