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Finding the Fourth Proportional to 2,538.14, 3,806.33 and 1,721.39

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Solution

The fourth proportional to 2,538.14, 3,806.33 and 1,721.39 is: 2,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.14 : 3,806.33 = 1,721.39 : x
  2. Step 2: Convert to fraction form
    2,538.14/3,806.33 = 1,721.39/x
  3. Step 3: Cross multiply
    2,538.14x = 3,806.33 × 1,721.39
  4. Step 4: Simplify right side
    2,538.14x = 6,552,150.76
  5. Step 5: Solve for x
    x = 6,552,150.76/2,538.14
  6. Step 6: Final answer
    x = 2,581.48

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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.