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Finding the Fourth Proportional to 3,072.96, 4,609.44 and 2,453.77

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Solution

The fourth proportional to 3,072.96, 4,609.44 and 2,453.77 is: 3,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.96 : 4,609.44 = 2,453.77 : x
  2. Step 2: Convert to fraction form
    3,072.96/4,609.44 = 2,453.77/x
  3. Step 3: Cross multiply
    3,072.96x = 4,609.44 × 2,453.77
  4. Step 4: Simplify right side
    3,072.96x = 11,310,508.74
  5. Step 5: Solve for x
    x = 11,310,508.74/3,072.96
  6. Step 6: Final answer
    x = 3,680.65

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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.