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Finding the Fourth Proportional to 2,981.08, 4,471.28 and 789.98

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Solution

The fourth proportional to 2,981.08, 4,471.28 and 789.98 is: 1,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.08 : 4,471.28 = 789.98 : x
  2. Step 2: Convert to fraction form
    2,981.08/4,471.28 = 789.98/x
  3. Step 3: Cross multiply
    2,981.08x = 4,471.28 × 789.98
  4. Step 4: Simplify right side
    2,981.08x = 3,532,221.77
  5. Step 5: Solve for x
    x = 3,532,221.77/2,981.08
  6. Step 6: Final answer
    x = 1,184.88

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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.