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Finding the Fourth Proportional to 2,078.73, 2,867.64 and 1,239.16

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Solution

The fourth proportional to 2,078.73, 2,867.64 and 1,239.16 is: 1,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.73 : 2,867.64 = 1,239.16 : x
  2. Step 2: Convert to fraction form
    2,078.73/2,867.64 = 1,239.16/x
  3. Step 3: Cross multiply
    2,078.73x = 2,867.64 × 1,239.16
  4. Step 4: Simplify right side
    2,078.73x = 3,553,464.78
  5. Step 5: Solve for x
    x = 3,553,464.78/2,078.73
  6. Step 6: Final answer
    x = 1,709.44

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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.