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Finding the Fourth Proportional to 2,163.14, 3,244.73 and 702.30

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Solution

The fourth proportional to 2,163.14, 3,244.73 and 702.30 is: 1,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.14 : 3,244.73 = 702.30 : x
  2. Step 2: Convert to fraction form
    2,163.14/3,244.73 = 702.30/x
  3. Step 3: Cross multiply
    2,163.14x = 3,244.73 × 702.30
  4. Step 4: Simplify right side
    2,163.14x = 2,278,773.88
  5. Step 5: Solve for x
    x = 2,278,773.88/2,163.14
  6. Step 6: Final answer
    x = 1,053.46

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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.