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Finding the Fourth Proportional to 2,446.96, 3,661.24 and 1,456.13

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Solution

The fourth proportional to 2,446.96, 3,661.24 and 1,456.13 is: 2,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.96 : 3,661.24 = 1,456.13 : x
  2. Step 2: Convert to fraction form
    2,446.96/3,661.24 = 1,456.13/x
  3. Step 3: Cross multiply
    2,446.96x = 3,661.24 × 1,456.13
  4. Step 4: Simplify right side
    2,446.96x = 5,331,241.40
  5. Step 5: Solve for x
    x = 5,331,241.40/2,446.96
  6. Step 6: Final answer
    x = 2,178.72

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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.