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Finding the Fourth Proportional to 2,266.72, 3,128.06 and 1,271.98

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Solution

The fourth proportional to 2,266.72, 3,128.06 and 1,271.98 is: 1,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.72 : 3,128.06 = 1,271.98 : x
  2. Step 2: Convert to fraction form
    2,266.72/3,128.06 = 1,271.98/x
  3. Step 3: Cross multiply
    2,266.72x = 3,128.06 × 1,271.98
  4. Step 4: Simplify right side
    2,266.72x = 3,978,836.85
  5. Step 5: Solve for x
    x = 3,978,836.85/2,266.72
  6. Step 6: Final answer
    x = 1,755.33

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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.