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Finding the Fourth Proportional to 2,759.70, 4,133.70 and 2,171.91

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Solution

The fourth proportional to 2,759.70, 4,133.70 and 2,171.91 is: 3,253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.70 : 4,133.70 = 2,171.91 : x
  2. Step 2: Convert to fraction form
    2,759.70/4,133.70 = 2,171.91/x
  3. Step 3: Cross multiply
    2,759.70x = 4,133.70 × 2,171.91
  4. Step 4: Simplify right side
    2,759.70x = 8,978,024.37
  5. Step 5: Solve for x
    x = 8,978,024.37/2,759.70
  6. Step 6: Final answer
    x = 3,253.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.