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Finding the Fourth Proportional to 2,180.43, 3,269.43 and 1,137.87

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Solution

The fourth proportional to 2,180.43, 3,269.43 and 1,137.87 is: 1,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.43 : 3,269.43 = 1,137.87 : x
  2. Step 2: Convert to fraction form
    2,180.43/3,269.43 = 1,137.87/x
  3. Step 3: Cross multiply
    2,180.43x = 3,269.43 × 1,137.87
  4. Step 4: Simplify right side
    2,180.43x = 3,720,186.31
  5. Step 5: Solve for x
    x = 3,720,186.31/2,180.43
  6. Step 6: Final answer
    x = 1,706.17

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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.