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Finding the Fourth Proportional to 3,078.63, 4,610.07 and 2,035.44

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Solution

The fourth proportional to 3,078.63, 4,610.07 and 2,035.44 is: 3,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.63 : 4,610.07 = 2,035.44 : x
  2. Step 2: Convert to fraction form
    3,078.63/4,610.07 = 2,035.44/x
  3. Step 3: Cross multiply
    3,078.63x = 4,610.07 × 2,035.44
  4. Step 4: Simplify right side
    3,078.63x = 9,383,520.88
  5. Step 5: Solve for x
    x = 9,383,520.88/3,078.63
  6. Step 6: Final answer
    x = 3,047.95

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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.