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Finding the Fourth Proportional to 2,163.08, 3,244.96 and 930.50

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Solution

The fourth proportional to 2,163.08, 3,244.96 and 930.50 is: 1,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.08 : 3,244.96 = 930.50 : x
  2. Step 2: Convert to fraction form
    2,163.08/3,244.96 = 930.50/x
  3. Step 3: Cross multiply
    2,163.08x = 3,244.96 × 930.50
  4. Step 4: Simplify right side
    2,163.08x = 3,019,436.95
  5. Step 5: Solve for x
    x = 3,019,436.95/2,163.08
  6. Step 6: Final answer
    x = 1,395.90

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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.