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Finding the Fourth Proportional to 3,446.12, 4,755.66 and 2,048.84

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Solution

The fourth proportional to 3,446.12, 4,755.66 and 2,048.84 is: 2,827.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.12 : 4,755.66 = 2,048.84 : x
  2. Step 2: Convert to fraction form
    3,446.12/4,755.66 = 2,048.84/x
  3. Step 3: Cross multiply
    3,446.12x = 4,755.66 × 2,048.84
  4. Step 4: Simplify right side
    3,446.12x = 9,743,586.43
  5. Step 5: Solve for x
    x = 9,743,586.43/3,446.12
  6. Step 6: Final answer
    x = 2,827.41

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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.