Home / 1,414.46-1,952.91-1,082.30

Finding the Fourth Proportional to 1,414.46, 1,952.91 and 1,082.30

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Solution

The fourth proportional to 1,414.46, 1,952.91 and 1,082.30 is: 1,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.46 : 1,952.91 = 1,082.30 : x
  2. Step 2: Convert to fraction form
    1,414.46/1,952.91 = 1,082.30/x
  3. Step 3: Cross multiply
    1,414.46x = 1,952.91 × 1,082.30
  4. Step 4: Simplify right side
    1,414.46x = 2,113,624.73
  5. Step 5: Solve for x
    x = 2,113,624.73/1,414.46
  6. Step 6: Final answer
    x = 1,494.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.