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Finding the Fourth Proportional to 2,172.56, 3,263.21 and 1,296.78

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Solution

The fourth proportional to 2,172.56, 3,263.21 and 1,296.78 is: 1,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.56 : 3,263.21 = 1,296.78 : x
  2. Step 2: Convert to fraction form
    2,172.56/3,263.21 = 1,296.78/x
  3. Step 3: Cross multiply
    2,172.56x = 3,263.21 × 1,296.78
  4. Step 4: Simplify right side
    2,172.56x = 4,231,649.15
  5. Step 5: Solve for x
    x = 4,231,649.15/2,172.56
  6. Step 6: Final answer
    x = 1,947.77

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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.