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Finding the Fourth Proportional to 2,538.65, 3,806.83 and 1,151.93

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Solution

The fourth proportional to 2,538.65, 3,806.83 and 1,151.93 is: 1,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.65 : 3,806.83 = 1,151.93 : x
  2. Step 2: Convert to fraction form
    2,538.65/3,806.83 = 1,151.93/x
  3. Step 3: Cross multiply
    2,538.65x = 3,806.83 × 1,151.93
  4. Step 4: Simplify right side
    2,538.65x = 4,385,201.68
  5. Step 5: Solve for x
    x = 4,385,201.68/2,538.65
  6. Step 6: Final answer
    x = 1,727.38

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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.