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Finding the Fourth Proportional to 1,824.62, 2,734.62 and 1,166.25

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Solution

The fourth proportional to 1,824.62, 2,734.62 and 1,166.25 is: 1,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.62 : 2,734.62 = 1,166.25 : x
  2. Step 2: Convert to fraction form
    1,824.62/2,734.62 = 1,166.25/x
  3. Step 3: Cross multiply
    1,824.62x = 2,734.62 × 1,166.25
  4. Step 4: Simplify right side
    1,824.62x = 3,189,250.58
  5. Step 5: Solve for x
    x = 3,189,250.58/1,824.62
  6. Step 6: Final answer
    x = 1,747.90

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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.