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Finding the Fourth Proportional to 2,001.56, 2,760.63 and 1,722.26

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Solution

The fourth proportional to 2,001.56, 2,760.63 and 1,722.26 is: 2,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.56 : 2,760.63 = 1,722.26 : x
  2. Step 2: Convert to fraction form
    2,001.56/2,760.63 = 1,722.26/x
  3. Step 3: Cross multiply
    2,001.56x = 2,760.63 × 1,722.26
  4. Step 4: Simplify right side
    2,001.56x = 4,754,532.75
  5. Step 5: Solve for x
    x = 4,754,532.75/2,001.56
  6. Step 6: Final answer
    x = 2,375.41

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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.