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Finding the Fourth Proportional to 2,402.46, 3,604.23 and 759.11

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Solution

The fourth proportional to 2,402.46, 3,604.23 and 759.11 is: 1,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.46 : 3,604.23 = 759.11 : x
  2. Step 2: Convert to fraction form
    2,402.46/3,604.23 = 759.11/x
  3. Step 3: Cross multiply
    2,402.46x = 3,604.23 × 759.11
  4. Step 4: Simplify right side
    2,402.46x = 2,735,989.01
  5. Step 5: Solve for x
    x = 2,735,989.01/2,402.46
  6. Step 6: Final answer
    x = 1,138.83

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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.