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Finding the Fourth Proportional to 2,685.38, 4,028.12 and 737.57

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Solution

The fourth proportional to 2,685.38, 4,028.12 and 737.57 is: 1,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.38 : 4,028.12 = 737.57 : x
  2. Step 2: Convert to fraction form
    2,685.38/4,028.12 = 737.57/x
  3. Step 3: Cross multiply
    2,685.38x = 4,028.12 × 737.57
  4. Step 4: Simplify right side
    2,685.38x = 2,971,016.78
  5. Step 5: Solve for x
    x = 2,971,016.78/2,685.38
  6. Step 6: Final answer
    x = 1,106.37

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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.