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Finding the Fourth Proportional to 2,176.29, 3,263.70 and 789.42

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Solution

The fourth proportional to 2,176.29, 3,263.70 and 789.42 is: 1,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.29 : 3,263.70 = 789.42 : x
  2. Step 2: Convert to fraction form
    2,176.29/3,263.70 = 789.42/x
  3. Step 3: Cross multiply
    2,176.29x = 3,263.70 × 789.42
  4. Step 4: Simplify right side
    2,176.29x = 2,576,430.05
  5. Step 5: Solve for x
    x = 2,576,430.05/2,176.29
  6. Step 6: Final answer
    x = 1,183.86

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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.