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Finding the Fourth Proportional to 2,506.57, 3,755.39 and 2,137.61

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Solution

The fourth proportional to 2,506.57, 3,755.39 and 2,137.61 is: 3,202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.57 : 3,755.39 = 2,137.61 : x
  2. Step 2: Convert to fraction form
    2,506.57/3,755.39 = 2,137.61/x
  3. Step 3: Cross multiply
    2,506.57x = 3,755.39 × 2,137.61
  4. Step 4: Simplify right side
    2,506.57x = 8,027,557.92
  5. Step 5: Solve for x
    x = 8,027,557.92/2,506.57
  6. Step 6: Final answer
    x = 3,202.61

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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.