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Finding the Fourth Proportional to 2,468.43, 3,703.38 and 737.07

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Solution

The fourth proportional to 2,468.43, 3,703.38 and 737.07 is: 1,105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.43 : 3,703.38 = 737.07 : x
  2. Step 2: Convert to fraction form
    2,468.43/3,703.38 = 737.07/x
  3. Step 3: Cross multiply
    2,468.43x = 3,703.38 × 737.07
  4. Step 4: Simplify right side
    2,468.43x = 2,729,650.30
  5. Step 5: Solve for x
    x = 2,729,650.30/2,468.43
  6. Step 6: Final answer
    x = 1,105.82

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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.