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Finding the Fourth Proportional to 2,087.41, 3,131.73 and 990.27

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Solution

The fourth proportional to 2,087.41, 3,131.73 and 990.27 is: 1,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.41 : 3,131.73 = 990.27 : x
  2. Step 2: Convert to fraction form
    2,087.41/3,131.73 = 990.27/x
  3. Step 3: Cross multiply
    2,087.41x = 3,131.73 × 990.27
  4. Step 4: Simplify right side
    2,087.41x = 3,101,258.27
  5. Step 5: Solve for x
    x = 3,101,258.27/2,087.41
  6. Step 6: Final answer
    x = 1,485.70

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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.