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Finding the Fourth Proportional to 3,446.06, 4,755.82 and 1,954.24

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Solution

The fourth proportional to 3,446.06, 4,755.82 and 1,954.24 is: 2,697.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.06 : 4,755.82 = 1,954.24 : x
  2. Step 2: Convert to fraction form
    3,446.06/4,755.82 = 1,954.24/x
  3. Step 3: Cross multiply
    3,446.06x = 4,755.82 × 1,954.24
  4. Step 4: Simplify right side
    3,446.06x = 9,294,013.68
  5. Step 5: Solve for x
    x = 9,294,013.68/3,446.06
  6. Step 6: Final answer
    x = 2,697.00

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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.