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Finding the Fourth Proportional to 2,271.70, 3,148.10 and 2,227.96

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Solution

The fourth proportional to 2,271.70, 3,148.10 and 2,227.96 is: 3,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.70 : 3,148.10 = 2,227.96 : x
  2. Step 2: Convert to fraction form
    2,271.70/3,148.10 = 2,227.96/x
  3. Step 3: Cross multiply
    2,271.70x = 3,148.10 × 2,227.96
  4. Step 4: Simplify right side
    2,271.70x = 7,013,840.88
  5. Step 5: Solve for x
    x = 7,013,840.88/2,271.70
  6. Step 6: Final answer
    x = 3,087.49

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.