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Finding the Fourth Proportional to 3,162.44, 4,364.17 and 1,765.19

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Solution

The fourth proportional to 3,162.44, 4,364.17 and 1,765.19 is: 2,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.44 : 4,364.17 = 1,765.19 : x
  2. Step 2: Convert to fraction form
    3,162.44/4,364.17 = 1,765.19/x
  3. Step 3: Cross multiply
    3,162.44x = 4,364.17 × 1,765.19
  4. Step 4: Simplify right side
    3,162.44x = 7,703,589.24
  5. Step 5: Solve for x
    x = 7,703,589.24/3,162.44
  6. Step 6: Final answer
    x = 2,435.96

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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.