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Finding the Fourth Proportional to 2,372.13, 3,274.13 and 1,441.41

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Solution

The fourth proportional to 2,372.13, 3,274.13 and 1,441.41 is: 1,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.13 : 3,274.13 = 1,441.41 : x
  2. Step 2: Convert to fraction form
    2,372.13/3,274.13 = 1,441.41/x
  3. Step 3: Cross multiply
    2,372.13x = 3,274.13 × 1,441.41
  4. Step 4: Simplify right side
    2,372.13x = 4,719,356.52
  5. Step 5: Solve for x
    x = 4,719,356.52/2,372.13
  6. Step 6: Final answer
    x = 1,989.50

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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.