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Finding the Fourth Proportional to 2,546.45, 3,817.31 and 987.47

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Solution

The fourth proportional to 2,546.45, 3,817.31 and 987.47 is: 1,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.45 : 3,817.31 = 987.47 : x
  2. Step 2: Convert to fraction form
    2,546.45/3,817.31 = 987.47/x
  3. Step 3: Cross multiply
    2,546.45x = 3,817.31 × 987.47
  4. Step 4: Simplify right side
    2,546.45x = 3,769,487.41
  5. Step 5: Solve for x
    x = 3,769,487.41/2,546.45
  6. Step 6: Final answer
    x = 1,480.29

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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.