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Finding the Fourth Proportional to 2,143.58, 3,213.32 and 826.37

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Solution

The fourth proportional to 2,143.58, 3,213.32 and 826.37 is: 1,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.58 : 3,213.32 = 826.37 : x
  2. Step 2: Convert to fraction form
    2,143.58/3,213.32 = 826.37/x
  3. Step 3: Cross multiply
    2,143.58x = 3,213.32 × 826.37
  4. Step 4: Simplify right side
    2,143.58x = 2,655,387.75
  5. Step 5: Solve for x
    x = 2,655,387.75/2,143.58
  6. Step 6: Final answer
    x = 1,238.76

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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.