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Finding the Fourth Proportional to 2,266.70, 3,128.32 and 1,271.79

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Solution

The fourth proportional to 2,266.70, 3,128.32 and 1,271.79 is: 1,755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.70 : 3,128.32 = 1,271.79 : x
  2. Step 2: Convert to fraction form
    2,266.70/3,128.32 = 1,271.79/x
  3. Step 3: Cross multiply
    2,266.70x = 3,128.32 × 1,271.79
  4. Step 4: Simplify right side
    2,266.70x = 3,978,566.09
  5. Step 5: Solve for x
    x = 3,978,566.09/2,266.70
  6. Step 6: Final answer
    x = 1,755.22

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Why These Related Problems?

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