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Finding the Fourth Proportional to 2,612.72, 3,920.64 and 1,381.04

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Solution

The fourth proportional to 2,612.72, 3,920.64 and 1,381.04 is: 2,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.72 : 3,920.64 = 1,381.04 : x
  2. Step 2: Convert to fraction form
    2,612.72/3,920.64 = 1,381.04/x
  3. Step 3: Cross multiply
    2,612.72x = 3,920.64 × 1,381.04
  4. Step 4: Simplify right side
    2,612.72x = 5,414,560.67
  5. Step 5: Solve for x
    x = 5,414,560.67/2,612.72
  6. Step 6: Final answer
    x = 2,072.38

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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.