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Finding the Fourth Proportional to 2,981.56, 4,471.76 and 873.44

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Solution

The fourth proportional to 2,981.56, 4,471.76 and 873.44 is: 1,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.56 : 4,471.76 = 873.44 : x
  2. Step 2: Convert to fraction form
    2,981.56/4,471.76 = 873.44/x
  3. Step 3: Cross multiply
    2,981.56x = 4,471.76 × 873.44
  4. Step 4: Simplify right side
    2,981.56x = 3,905,814.05
  5. Step 5: Solve for x
    x = 3,905,814.05/2,981.56
  6. Step 6: Final answer
    x = 1,309.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.