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Finding the Fourth Proportional to 1,757.28, 2,426.03 and 1,198.57

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Solution

The fourth proportional to 1,757.28, 2,426.03 and 1,198.57 is: 1,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.28 : 2,426.03 = 1,198.57 : x
  2. Step 2: Convert to fraction form
    1,757.28/2,426.03 = 1,198.57/x
  3. Step 3: Cross multiply
    1,757.28x = 2,426.03 × 1,198.57
  4. Step 4: Simplify right side
    1,757.28x = 2,907,766.78
  5. Step 5: Solve for x
    x = 2,907,766.78/1,757.28
  6. Step 6: Final answer
    x = 1,654.70

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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.