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Finding the Fourth Proportional to 3,200.86, 4,799.54 and 1,120.32

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Solution

The fourth proportional to 3,200.86, 4,799.54 and 1,120.32 is: 1,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.86 : 4,799.54 = 1,120.32 : x
  2. Step 2: Convert to fraction form
    3,200.86/4,799.54 = 1,120.32/x
  3. Step 3: Cross multiply
    3,200.86x = 4,799.54 × 1,120.32
  4. Step 4: Simplify right side
    3,200.86x = 5,377,020.65
  5. Step 5: Solve for x
    x = 5,377,020.65/3,200.86
  6. Step 6: Final answer
    x = 1,679.87

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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.