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Finding the Fourth Proportional to 2,163.06, 3,244.55 and 702.23

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Solution

The fourth proportional to 2,163.06, 3,244.55 and 702.23 is: 1,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.06 : 3,244.55 = 702.23 : x
  2. Step 2: Convert to fraction form
    2,163.06/3,244.55 = 702.23/x
  3. Step 3: Cross multiply
    2,163.06x = 3,244.55 × 702.23
  4. Step 4: Simplify right side
    2,163.06x = 2,278,400.61
  5. Step 5: Solve for x
    x = 2,278,400.61/2,163.06
  6. Step 6: Final answer
    x = 1,053.32

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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.