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Finding the Fourth Proportional to 2,162.42, 2,984.21 and 1,323.50

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Solution

The fourth proportional to 2,162.42, 2,984.21 and 1,323.50 is: 1,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.42 : 2,984.21 = 1,323.50 : x
  2. Step 2: Convert to fraction form
    2,162.42/2,984.21 = 1,323.50/x
  3. Step 3: Cross multiply
    2,162.42x = 2,984.21 × 1,323.50
  4. Step 4: Simplify right side
    2,162.42x = 3,949,601.94
  5. Step 5: Solve for x
    x = 3,949,601.94/2,162.42
  6. Step 6: Final answer
    x = 1,826.47

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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.