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Finding the Fourth Proportional to 3,078.54, 4,246.02 and 2,083.64

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Solution

The fourth proportional to 3,078.54, 4,246.02 and 2,083.64 is: 2,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.54 : 4,246.02 = 2,083.64 : x
  2. Step 2: Convert to fraction form
    3,078.54/4,246.02 = 2,083.64/x
  3. Step 3: Cross multiply
    3,078.54x = 4,246.02 × 2,083.64
  4. Step 4: Simplify right side
    3,078.54x = 8,847,155.88
  5. Step 5: Solve for x
    x = 8,847,155.88/3,078.54
  6. Step 6: Final answer
    x = 2,873.82

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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.