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Finding the Fourth Proportional to 2,082.41, 3,124.16 and 986.75

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Solution

The fourth proportional to 2,082.41, 3,124.16 and 986.75 is: 1,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.41 : 3,124.16 = 986.75 : x
  2. Step 2: Convert to fraction form
    2,082.41/3,124.16 = 986.75/x
  3. Step 3: Cross multiply
    2,082.41x = 3,124.16 × 986.75
  4. Step 4: Simplify right side
    2,082.41x = 3,082,764.88
  5. Step 5: Solve for x
    x = 3,082,764.88/2,082.41
  6. Step 6: Final answer
    x = 1,480.38

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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.