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Finding the Fourth Proportional to 2,163.17, 3,244.62 and 702.22

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Solution

The fourth proportional to 2,163.17, 3,244.62 and 702.22 is: 1,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.17 : 3,244.62 = 702.22 : x
  2. Step 2: Convert to fraction form
    2,163.17/3,244.62 = 702.22/x
  3. Step 3: Cross multiply
    2,163.17x = 3,244.62 × 702.22
  4. Step 4: Simplify right side
    2,163.17x = 2,278,437.66
  5. Step 5: Solve for x
    x = 2,278,437.66/2,163.17
  6. Step 6: Final answer
    x = 1,053.29

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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.