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Finding the Fourth Proportional to 3,322.96, 4,986.70 and 2,153.50

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Solution

The fourth proportional to 3,322.96, 4,986.70 and 2,153.50 is: 3,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.96 : 4,986.70 = 2,153.50 : x
  2. Step 2: Convert to fraction form
    3,322.96/4,986.70 = 2,153.50/x
  3. Step 3: Cross multiply
    3,322.96x = 4,986.70 × 2,153.50
  4. Step 4: Simplify right side
    3,322.96x = 10,738,858.45
  5. Step 5: Solve for x
    x = 10,738,858.45/3,322.96
  6. Step 6: Final answer
    x = 3,231.71

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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.