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Finding the Fourth Proportional to 2,402.73, 3,604.63 and 737.09

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Solution

The fourth proportional to 2,402.73, 3,604.63 and 737.09 is: 1,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.73 : 3,604.63 = 737.09 : x
  2. Step 2: Convert to fraction form
    2,402.73/3,604.63 = 737.09/x
  3. Step 3: Cross multiply
    2,402.73x = 3,604.63 × 737.09
  4. Step 4: Simplify right side
    2,402.73x = 2,656,916.86
  5. Step 5: Solve for x
    x = 2,656,916.86/2,402.73
  6. Step 6: Final answer
    x = 1,105.79

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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.