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Finding the Fourth Proportional to 2,284.89, 3,427.20 and 987.27

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Solution

The fourth proportional to 2,284.89, 3,427.20 and 987.27 is: 1,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.89 : 3,427.20 = 987.27 : x
  2. Step 2: Convert to fraction form
    2,284.89/3,427.20 = 987.27/x
  3. Step 3: Cross multiply
    2,284.89x = 3,427.20 × 987.27
  4. Step 4: Simplify right side
    2,284.89x = 3,383,571.74
  5. Step 5: Solve for x
    x = 3,383,571.74/2,284.89
  6. Step 6: Final answer
    x = 1,480.85

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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.