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Finding the Fourth Proportional to 2,538.73, 3,808.37 and 1,078.03

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Solution

The fourth proportional to 2,538.73, 3,808.37 and 1,078.03 is: 1,617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.73 : 3,808.37 = 1,078.03 : x
  2. Step 2: Convert to fraction form
    2,538.73/3,808.37 = 1,078.03/x
  3. Step 3: Cross multiply
    2,538.73x = 3,808.37 × 1,078.03
  4. Step 4: Simplify right side
    2,538.73x = 4,105,537.11
  5. Step 5: Solve for x
    x = 4,105,537.11/2,538.73
  6. Step 6: Final answer
    x = 1,617.16

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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.