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Finding the Fourth Proportional to 2,163.77, 3,244.96 and 702.57

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Solution

The fourth proportional to 2,163.77, 3,244.96 and 702.57 is: 1,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.77 : 3,244.96 = 702.57 : x
  2. Step 2: Convert to fraction form
    2,163.77/3,244.96 = 702.57/x
  3. Step 3: Cross multiply
    2,163.77x = 3,244.96 × 702.57
  4. Step 4: Simplify right side
    2,163.77x = 2,279,811.55
  5. Step 5: Solve for x
    x = 2,279,811.55/2,163.77
  6. Step 6: Final answer
    x = 1,053.63

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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.