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Finding the Fourth Proportional to 2,163.30, 3,245.27 and 702.18

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Solution

The fourth proportional to 2,163.30, 3,245.27 and 702.18 is: 1,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.30 : 3,245.27 = 702.18 : x
  2. Step 2: Convert to fraction form
    2,163.30/3,245.27 = 702.18/x
  3. Step 3: Cross multiply
    2,163.30x = 3,245.27 × 702.18
  4. Step 4: Simplify right side
    2,163.30x = 2,278,763.69
  5. Step 5: Solve for x
    x = 2,278,763.69/2,163.30
  6. Step 6: Final answer
    x = 1,053.37

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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.