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Finding the Fourth Proportional to 2,446.27, 3,669.37 and 1,146.82

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Solution

The fourth proportional to 2,446.27, 3,669.37 and 1,146.82 is: 1,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.27 : 3,669.37 = 1,146.82 : x
  2. Step 2: Convert to fraction form
    2,446.27/3,669.37 = 1,146.82/x
  3. Step 3: Cross multiply
    2,446.27x = 3,669.37 × 1,146.82
  4. Step 4: Simplify right side
    2,446.27x = 4,208,106.90
  5. Step 5: Solve for x
    x = 4,208,106.90/2,446.27
  6. Step 6: Final answer
    x = 1,720.21

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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.