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Finding the Fourth Proportional to 1,465.69, 2,021.22 and 1,185.73

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Solution

The fourth proportional to 1,465.69, 2,021.22 and 1,185.73 is: 1,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.69 : 2,021.22 = 1,185.73 : x
  2. Step 2: Convert to fraction form
    1,465.69/2,021.22 = 1,185.73/x
  3. Step 3: Cross multiply
    1,465.69x = 2,021.22 × 1,185.73
  4. Step 4: Simplify right side
    1,465.69x = 2,396,611.08
  5. Step 5: Solve for x
    x = 2,396,611.08/1,465.69
  6. Step 6: Final answer
    x = 1,635.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.