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Finding the Fourth Proportional to 2,981.56, 4,105.19 and 2,532.48

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Solution

The fourth proportional to 2,981.56, 4,105.19 and 2,532.48 is: 3,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.56 : 4,105.19 = 2,532.48 : x
  2. Step 2: Convert to fraction form
    2,981.56/4,105.19 = 2,532.48/x
  3. Step 3: Cross multiply
    2,981.56x = 4,105.19 × 2,532.48
  4. Step 4: Simplify right side
    2,981.56x = 10,396,311.57
  5. Step 5: Solve for x
    x = 10,396,311.57/2,981.56
  6. Step 6: Final answer
    x = 3,486.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.