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Finding the Fourth Proportional to 1,439.92, 2,162.02 and 824.32

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Solution

The fourth proportional to 1,439.92, 2,162.02 and 824.32 is: 1,237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.92 : 2,162.02 = 824.32 : x
  2. Step 2: Convert to fraction form
    1,439.92/2,162.02 = 824.32/x
  3. Step 3: Cross multiply
    1,439.92x = 2,162.02 × 824.32
  4. Step 4: Simplify right side
    1,439.92x = 1,782,196.33
  5. Step 5: Solve for x
    x = 1,782,196.33/1,439.92
  6. Step 6: Final answer
    x = 1,237.71

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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.