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Finding the Fourth Proportional to 2,980.55, 4,470.33 and 789.41

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Solution

The fourth proportional to 2,980.55, 4,470.33 and 789.41 is: 1,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.55 : 4,470.33 = 789.41 : x
  2. Step 2: Convert to fraction form
    2,980.55/4,470.33 = 789.41/x
  3. Step 3: Cross multiply
    2,980.55x = 4,470.33 × 789.41
  4. Step 4: Simplify right side
    2,980.55x = 3,528,923.21
  5. Step 5: Solve for x
    x = 3,528,923.21/2,980.55
  6. Step 6: Final answer
    x = 1,183.98

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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.