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Finding the Fourth Proportional to 2,981.15, 4,471.98 and 789.85

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Solution

The fourth proportional to 2,981.15, 4,471.98 and 789.85 is: 1,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.15 : 4,471.98 = 789.85 : x
  2. Step 2: Convert to fraction form
    2,981.15/4,471.98 = 789.85/x
  3. Step 3: Cross multiply
    2,981.15x = 4,471.98 × 789.85
  4. Step 4: Simplify right side
    2,981.15x = 3,532,196.03
  5. Step 5: Solve for x
    x = 3,532,196.03/2,981.15
  6. Step 6: Final answer
    x = 1,184.84

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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.