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Finding the Fourth Proportional to 2,170.49, 3,250.85 and 1,524.11

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Solution

The fourth proportional to 2,170.49, 3,250.85 and 1,524.11 is: 2,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.49 : 3,250.85 = 1,524.11 : x
  2. Step 2: Convert to fraction form
    2,170.49/3,250.85 = 1,524.11/x
  3. Step 3: Cross multiply
    2,170.49x = 3,250.85 × 1,524.11
  4. Step 4: Simplify right side
    2,170.49x = 4,954,629.12
  5. Step 5: Solve for x
    x = 4,954,629.12/2,170.49
  6. Step 6: Final answer
    x = 2,282.73

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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.