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Finding the Fourth Proportional to 1,414.18, 2,122.56 and 721.34

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Solution

The fourth proportional to 1,414.18, 2,122.56 and 721.34 is: 1,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.18 : 2,122.56 = 721.34 : x
  2. Step 2: Convert to fraction form
    1,414.18/2,122.56 = 721.34/x
  3. Step 3: Cross multiply
    1,414.18x = 2,122.56 × 721.34
  4. Step 4: Simplify right side
    1,414.18x = 1,531,087.43
  5. Step 5: Solve for x
    x = 1,531,087.43/1,414.18
  6. Step 6: Final answer
    x = 1,082.67

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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.