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Finding the Fourth Proportional to 2,162.78, 2,984.70 and 1,323.84

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Solution

The fourth proportional to 2,162.78, 2,984.70 and 1,323.84 is: 1,826.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.78 : 2,984.70 = 1,323.84 : x
  2. Step 2: Convert to fraction form
    2,162.78/2,984.70 = 1,323.84/x
  3. Step 3: Cross multiply
    2,162.78x = 2,984.70 × 1,323.84
  4. Step 4: Simplify right side
    2,162.78x = 3,951,265.25
  5. Step 5: Solve for x
    x = 3,951,265.25/2,162.78
  6. Step 6: Final answer
    x = 1,826.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.