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Finding the Fourth Proportional to 2,286.57, 3,425.28 and 1,052.29

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Solution

The fourth proportional to 2,286.57, 3,425.28 and 1,052.29 is: 1,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.57 : 3,425.28 = 1,052.29 : x
  2. Step 2: Convert to fraction form
    2,286.57/3,425.28 = 1,052.29/x
  3. Step 3: Cross multiply
    2,286.57x = 3,425.28 × 1,052.29
  4. Step 4: Simplify right side
    2,286.57x = 3,604,387.89
  5. Step 5: Solve for x
    x = 3,604,387.89/2,286.57
  6. Step 6: Final answer
    x = 1,576.33

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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.