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Finding the Fourth Proportional to 2,372.64, 3,274.14 and 1,324.68

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Solution

The fourth proportional to 2,372.64, 3,274.14 and 1,324.68 is: 1,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.64 : 3,274.14 = 1,324.68 : x
  2. Step 2: Convert to fraction form
    2,372.64/3,274.14 = 1,324.68/x
  3. Step 3: Cross multiply
    2,372.64x = 3,274.14 × 1,324.68
  4. Step 4: Simplify right side
    2,372.64x = 4,337,187.78
  5. Step 5: Solve for x
    x = 4,337,187.78/2,372.64
  6. Step 6: Final answer
    x = 1,828.00

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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.