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Finding the Fourth Proportional to 1,202.61, 1,792.11 and 1,163.46

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Solution

The fourth proportional to 1,202.61, 1,792.11 and 1,163.46 is: 1,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.61 : 1,792.11 = 1,163.46 : x
  2. Step 2: Convert to fraction form
    1,202.61/1,792.11 = 1,163.46/x
  3. Step 3: Cross multiply
    1,202.61x = 1,792.11 × 1,163.46
  4. Step 4: Simplify right side
    1,202.61x = 2,085,048.30
  5. Step 5: Solve for x
    x = 2,085,048.30/1,202.61
  6. Step 6: Final answer
    x = 1,733.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.