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Finding the Fourth Proportional to 2,980.67, 4,470.50 and 789.62

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Solution

The fourth proportional to 2,980.67, 4,470.50 and 789.62 is: 1,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.67 : 4,470.50 = 789.62 : x
  2. Step 2: Convert to fraction form
    2,980.67/4,470.50 = 789.62/x
  3. Step 3: Cross multiply
    2,980.67x = 4,470.50 × 789.62
  4. Step 4: Simplify right side
    2,980.67x = 3,530,006.40
  5. Step 5: Solve for x
    x = 3,530,006.40/2,980.67
  6. Step 6: Final answer
    x = 1,184.30

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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.