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Finding the Fourth Proportional to 2,453.25, 3,680.69 and 991.61

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Solution

The fourth proportional to 2,453.25, 3,680.69 and 991.61 is: 1,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.25 : 3,680.69 = 991.61 : x
  2. Step 2: Convert to fraction form
    2,453.25/3,680.69 = 991.61/x
  3. Step 3: Cross multiply
    2,453.25x = 3,680.69 × 991.61
  4. Step 4: Simplify right side
    2,453.25x = 3,649,809.01
  5. Step 5: Solve for x
    x = 3,649,809.01/2,453.25
  6. Step 6: Final answer
    x = 1,487.74

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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.