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Finding the Fourth Proportional to 2,087.73, 3,131.60 and 548.73

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Solution

The fourth proportional to 2,087.73, 3,131.60 and 548.73 is: 823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.73 : 3,131.60 = 548.73 : x
  2. Step 2: Convert to fraction form
    2,087.73/3,131.60 = 548.73/x
  3. Step 3: Cross multiply
    2,087.73x = 3,131.60 × 548.73
  4. Step 4: Simplify right side
    2,087.73x = 1,718,402.87
  5. Step 5: Solve for x
    x = 1,718,402.87/2,087.73
  6. Step 6: Final answer
    x = 823.10

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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.