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Finding the Fourth Proportional to 1,638.41, 2,453.92 and 943.43

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Solution

The fourth proportional to 1,638.41, 2,453.92 and 943.43 is: 1,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.41 : 2,453.92 = 943.43 : x
  2. Step 2: Convert to fraction form
    1,638.41/2,453.92 = 943.43/x
  3. Step 3: Cross multiply
    1,638.41x = 2,453.92 × 943.43
  4. Step 4: Simplify right side
    1,638.41x = 2,315,087.12
  5. Step 5: Solve for x
    x = 2,315,087.12/1,638.41
  6. Step 6: Final answer
    x = 1,413.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.