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Finding the Fourth Proportional to 3,072.70, 4,609.05 and 2,562.40

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Solution

The fourth proportional to 3,072.70, 4,609.05 and 2,562.40 is: 3,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.70 : 4,609.05 = 2,562.40 : x
  2. Step 2: Convert to fraction form
    3,072.70/4,609.05 = 2,562.40/x
  3. Step 3: Cross multiply
    3,072.70x = 4,609.05 × 2,562.40
  4. Step 4: Simplify right side
    3,072.70x = 11,810,229.72
  5. Step 5: Solve for x
    x = 11,810,229.72/3,072.70
  6. Step 6: Final answer
    x = 3,843.60

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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.