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Finding the Fourth Proportional to 1,933.73, 2,668.30 and 1,147.63

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Solution

The fourth proportional to 1,933.73, 2,668.30 and 1,147.63 is: 1,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.73 : 2,668.30 = 1,147.63 : x
  2. Step 2: Convert to fraction form
    1,933.73/2,668.30 = 1,147.63/x
  3. Step 3: Cross multiply
    1,933.73x = 2,668.30 × 1,147.63
  4. Step 4: Simplify right side
    1,933.73x = 3,062,221.13
  5. Step 5: Solve for x
    x = 3,062,221.13/1,933.73
  6. Step 6: Final answer
    x = 1,583.58

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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.