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Finding the Fourth Proportional to 2,163.36, 3,244.37 and 702.21

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Solution

The fourth proportional to 2,163.36, 3,244.37 and 702.21 is: 1,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.36 : 3,244.37 = 702.21 : x
  2. Step 2: Convert to fraction form
    2,163.36/3,244.37 = 702.21/x
  3. Step 3: Cross multiply
    2,163.36x = 3,244.37 × 702.21
  4. Step 4: Simplify right side
    2,163.36x = 2,278,225.55
  5. Step 5: Solve for x
    x = 2,278,225.55/2,163.36
  6. Step 6: Final answer
    x = 1,053.10

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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.