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Finding the Fourth Proportional to 2,505.96, 3,755.49 and 2,133.84

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Solution

The fourth proportional to 2,505.96, 3,755.49 and 2,133.84 is: 3,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.96 : 3,755.49 = 2,133.84 : x
  2. Step 2: Convert to fraction form
    2,505.96/3,755.49 = 2,133.84/x
  3. Step 3: Cross multiply
    2,505.96x = 3,755.49 × 2,133.84
  4. Step 4: Simplify right side
    2,505.96x = 8,013,626.86
  5. Step 5: Solve for x
    x = 8,013,626.86/2,505.96
  6. Step 6: Final answer
    x = 3,197.82

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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.