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Finding the Fourth Proportional to 2,522.97, 3,770.39 and 2,382.57

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Solution

The fourth proportional to 2,522.97, 3,770.39 and 2,382.57 is: 3,560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.97 : 3,770.39 = 2,382.57 : x
  2. Step 2: Convert to fraction form
    2,522.97/3,770.39 = 2,382.57/x
  3. Step 3: Cross multiply
    2,522.97x = 3,770.39 × 2,382.57
  4. Step 4: Simplify right side
    2,522.97x = 8,983,224.06
  5. Step 5: Solve for x
    x = 8,983,224.06/2,522.97
  6. Step 6: Final answer
    x = 3,560.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.