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Finding the Fourth Proportional to 2,721.14, 4,082.31 and 989.75

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Solution

The fourth proportional to 2,721.14, 4,082.31 and 989.75 is: 1,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.14 : 4,082.31 = 989.75 : x
  2. Step 2: Convert to fraction form
    2,721.14/4,082.31 = 989.75/x
  3. Step 3: Cross multiply
    2,721.14x = 4,082.31 × 989.75
  4. Step 4: Simplify right side
    2,721.14x = 4,040,466.32
  5. Step 5: Solve for x
    x = 4,040,466.32/2,721.14
  6. Step 6: Final answer
    x = 1,484.84

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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.