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Finding the Fourth Proportional to 2,176.39, 3,263.76 and 789.32

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Solution

The fourth proportional to 2,176.39, 3,263.76 and 789.32 is: 1,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.39 : 3,263.76 = 789.32 : x
  2. Step 2: Convert to fraction form
    2,176.39/3,263.76 = 789.32/x
  3. Step 3: Cross multiply
    2,176.39x = 3,263.76 × 789.32
  4. Step 4: Simplify right side
    2,176.39x = 2,576,151.04
  5. Step 5: Solve for x
    x = 2,576,151.04/2,176.39
  6. Step 6: Final answer
    x = 1,183.68

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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.