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Finding the Fourth Proportional to 2,372.71, 3,274.41 and 1,324.75

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Solution

The fourth proportional to 2,372.71, 3,274.41 and 1,324.75 is: 1,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.71 : 3,274.41 = 1,324.75 : x
  2. Step 2: Convert to fraction form
    2,372.71/3,274.41 = 1,324.75/x
  3. Step 3: Cross multiply
    2,372.71x = 3,274.41 × 1,324.75
  4. Step 4: Simplify right side
    2,372.71x = 4,337,774.65
  5. Step 5: Solve for x
    x = 4,337,774.65/2,372.71
  6. Step 6: Final answer
    x = 1,828.19

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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.