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Finding the Fourth Proportional to 3,274.42, 4,517.01 and 2,030.26

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Solution

The fourth proportional to 3,274.42, 4,517.01 and 2,030.26 is: 2,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.42 : 4,517.01 = 2,030.26 : x
  2. Step 2: Convert to fraction form
    3,274.42/4,517.01 = 2,030.26/x
  3. Step 3: Cross multiply
    3,274.42x = 4,517.01 × 2,030.26
  4. Step 4: Simplify right side
    3,274.42x = 9,170,704.72
  5. Step 5: Solve for x
    x = 9,170,704.72/3,274.42
  6. Step 6: Final answer
    x = 2,800.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.