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Finding the Fourth Proportional to 2,432.76, 3,649.20 and 789.30

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Solution

The fourth proportional to 2,432.76, 3,649.20 and 789.30 is: 1,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.76 : 3,649.20 = 789.30 : x
  2. Step 2: Convert to fraction form
    2,432.76/3,649.20 = 789.30/x
  3. Step 3: Cross multiply
    2,432.76x = 3,649.20 × 789.30
  4. Step 4: Simplify right side
    2,432.76x = 2,880,313.56
  5. Step 5: Solve for x
    x = 2,880,313.56/2,432.76
  6. Step 6: Final answer
    x = 1,183.97

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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.