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Finding the Fourth Proportional to 3,322.56, 4,982.67 and 981.94

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Solution

The fourth proportional to 3,322.56, 4,982.67 and 981.94 is: 1,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.56 : 4,982.67 = 981.94 : x
  2. Step 2: Convert to fraction form
    3,322.56/4,982.67 = 981.94/x
  3. Step 3: Cross multiply
    3,322.56x = 4,982.67 × 981.94
  4. Step 4: Simplify right side
    3,322.56x = 4,892,682.98
  5. Step 5: Solve for x
    x = 4,892,682.98/3,322.56
  6. Step 6: Final answer
    x = 1,472.56

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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.