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Finding the Fourth Proportional to 2,143.77, 3,214.80 and 826.79

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Solution

The fourth proportional to 2,143.77, 3,214.80 and 826.79 is: 1,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.77 : 3,214.80 = 826.79 : x
  2. Step 2: Convert to fraction form
    2,143.77/3,214.80 = 826.79/x
  3. Step 3: Cross multiply
    2,143.77x = 3,214.80 × 826.79
  4. Step 4: Simplify right side
    2,143.77x = 2,657,958.52
  5. Step 5: Solve for x
    x = 2,657,958.52/2,143.77
  6. Step 6: Final answer
    x = 1,239.85

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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.