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Finding the Fourth Proportional to 2,159.05, 3,238.43 and 842.56

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Solution

The fourth proportional to 2,159.05, 3,238.43 and 842.56 is: 1,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.05 : 3,238.43 = 842.56 : x
  2. Step 2: Convert to fraction form
    2,159.05/3,238.43 = 842.56/x
  3. Step 3: Cross multiply
    2,159.05x = 3,238.43 × 842.56
  4. Step 4: Simplify right side
    2,159.05x = 2,728,564.01
  5. Step 5: Solve for x
    x = 2,728,564.01/2,159.05
  6. Step 6: Final answer
    x = 1,263.78

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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.