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Finding the Fourth Proportional to 2,172.83, 3,251.74 and 1,339.56

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Solution

The fourth proportional to 2,172.83, 3,251.74 and 1,339.56 is: 2,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.83 : 3,251.74 = 1,339.56 : x
  2. Step 2: Convert to fraction form
    2,172.83/3,251.74 = 1,339.56/x
  3. Step 3: Cross multiply
    2,172.83x = 3,251.74 × 1,339.56
  4. Step 4: Simplify right side
    2,172.83x = 4,355,897.49
  5. Step 5: Solve for x
    x = 4,355,897.49/2,172.83
  6. Step 6: Final answer
    x = 2,004.71

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